U=tan^-1(2xy/x^2-y^2) 803717-U=tan^-1(xy/√1+x^2+y^2)

Welcome to Sarthaks eConnect A unique platform where students can interact with teachers/experts/students to get solutions toThe integrating factor of the differential equation (1 x^2) (dy / dx) y = e^tan^(1)x is Related Links The intensity of sound from a point source is 10 × 108 W m2 at a distance of 50 m from the source What will be the intensity at a distance of 25 m from the source?Ask Questions, Get Answers Menu X home ask tuition questions practice papers mobile tutors pricing

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U=tan^-1(xy/√1+x^2+y^2)-Get stepbystep solutions from expert tutors as fast as 1530 minutes Your first 5 questions are on us!We have dv = v x dx v y dy ⇒ dv = 2y dx 2x dy = d(2xy) ⇒ v = 2xy k or v = 2xy ∴ The conjugate harmonic function is 2xy Download Question With Solution PDF ››

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Gradient x^2y^22xy, \at (1,2) \square! Identify the inner function u = g(x) and the outer function y = f(u) (Use nonidentity functions for f(u) and g(x)) y = tan(x^5) (f(u),g(x))=(?) I thought the answer would be Calculus The line that is normal to the curve x^2=2xy3y^2=0 at(1,1) intersects the curve at what other point?Learn how to solve problems step by step online Solve the differential equation (1x^2)y^'2x*y=0

And mag 17 = $SOLUTION Concept Since z is a homogeneous function of x, y of degree n, we can use Euler's Theorem defined as \(x\frac{{dz}}{{\partial x}} y\frac{{\partial zProblem show that the function Z=tan^1(2xy)/(x^2y^2) satisfies the laplace equation I understand I need to take the partial with respect to X and the partial

F(y,x 1,x 2)=0 where the partial derivatives are ∂F/∂x 1 = F x 1, ∂F/∂x 2 = F x 2 and ∂F/∂y = F yThis class of functions are known as implicit functions where F(y,x 1,x 2)=0implicity define y = y(x 1,x 2) What this means is that it is possible (theoretically) to rewrite to get y isolated and expressed as a function of x 1 and x 2Extended Keyboard Examples Upload Random Compute answers using Wolfram's breakthrough technology & knowledgebase, relied on by millions of students & professionals For math, science, nutrition, history, geography, engineering, mathematics, linguistics, sports, finance, musicIf u = x 2 − y 2, v = 2 x y a n d z = f ( u, v) prove the following written 50 years ago by shailymishra30 ♦ 330 modified 14 months ago by sanketshingote ♦ 570 ( ∂ z ∂ x) 2 ( ∂ z ∂ y) 2 = 4 u 2 v 2 ( ∂ z ∂ u) 2 ( ∂ z ∂ v) 2 partial differentiation ADD COMMENT

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Then make the substitution x = r cos theta, y = r sin I just want to know how you get sinx=2u/(u^21) and cosx=(1u^2)/(u^21) from tan(x/2) After that I can use that to plug in the integral sinx/(sinxcosx) toConsider the differential equation dy/dx=(x²1)(y²1) Separating the similar variables dy/(y²1)=(x²1)dx Integrating on both sides ∫dy/(y²1)=∫(x²1)dx tan¹(y)=x³/3 xc y=tan(x³/3 xc) This is the solution of given differential equation

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Answer to The Laplace operation Delta is defined by Delta f = f_{xx} f_{yy} A function u(x,x) that satisfies the Laplace equation Delta u=0 isNow, y = x± q x2 −4(x2 −7) 2 = x± √ 28−3x2 2 Take the positive root since y(1) = 3 The restriction on x would be that 28−3x2 ≥ 0 Therefore, − s 28 3 < x < s 28 3 5 Problem 15 (xy2 bx2y)dx(xy)x2 dy = 0 First, for this to be exact If u= sin^1(xy/√x√y) Prove that x^2 dough^2 u/dough x^2 2xy dough^2 y/dough x^2y y^2 dough^2 y/ dough y^2 = 1/4 ( tan^3 tan u) 1 See answer masterjohnny555 is waiting for your help Add your answer and earn points alomarachoudury alomarachoudury Answer

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 If u = tan^1(x^3 y^3/x y), prove that x ∂u/∂x y ∂u/∂y = sin 2u asked in Mathematics by Ruhi (703k points) class12;F(x) = 5x2 − 3x 2, 0, 2 Yes, it does not matter if f is continuous or algebra Find an equation of a rational function that satisfies the following conditions • Vertical asymptotes x = −3 • Horizontal asymptote y=3/2 • xProblems on Partial Differentiation U=log(x^2y^2z^2) , U=tan^1(2xy/x^2y^2), Z=f(xay) Q(xay)M1 topic Linear Differential Equation with Variable coe

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Get stepbystep solutions from expert tutors as fast as 1530 minutes Your first 5 questions are on us!Click here👆to get an answer to your question ️ If u = tan^1 (x^2y^2/x y ) , then x d u/d x yd u/d y = Join / Login >> Class 12 >> Maths >> Continuity and Differentiability >> Derivatives of Implicit FunctionsSOLUTIONS TO PROBLEMS FROM ASSIGNMENT 2 Problems 132d and 133d Statement Find general solutions of yu xy 2u x= xusing ODE techniques, as well as its particular solution satisfying the side conditions u(x;1) = 0 and u(0;y) = 0

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 Find an answer to your question if u= tan inverse (xy/square root 1x²y²) then show that del²u/del x del y = 1/(1x²y²) to the power 3/2Answer to tan(£) l—cos H Show that 2 sin n, Hint Use the fact that 1— 2 1 2 a = $; Note now that sec2(x − y) = 1 tan2(x − y) = 1 y2 (1 x2)2 so dy dx = 1 y2 (1x2)2 2xy (1x2)2 1 y2 (1x2)2 1 1x2 and multiplying numerator and denominator by (1 x2)2 dy dx = (1 x2)2 y2 2xy (1 x2)2 y2 1 x2 dy dx = x4 2x2 y2 2xy 1 x4 3x2 y2 2 Answer link

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 Find an equation of the tangent line to the curve (x^2)(e^y)(ye^x)=4 at the point (2,0) asked in CALCULUS by payton Apprentice implicitdifferntiationIf U = Sin − 1 ( X 1 3 Y 1 3 X 1 2 − Y 1 2 ) , Prove that X 2 ∂ 2 U ∂ X 2 2 X Y ∂ 2 U ∂ X ∂ Y Y 2 ∂ 2 U ∂ Y 2 = Tan U 144 ( Tan 2 U 13 ) 0 University of Mumbai BE Civil Engineering Semester 1Find dy/dx x^2y^2=2xy Differentiate both sides of the equation Differentiate the left side of the equation Tap for more steps Differentiate Tap for more steps By the Sum Rule, the derivative of with respect to is Differentiate using the Power Rule which states that is where

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The quadratic formula gives two solutions, one when ± is addition and one when it is subtraction y^ {2}2xyx^ {2}=0 y 2 2 x y x 2 = 0 This equation is in standard form ax^ {2}bxc=0 Substitute 1 for a, 2x for b, and x^ {2} for c in the quadratic formula, \frac {b±\sqrt {b^ {2Compute answers using Wolfram's breakthrough technology & knowledgebase, relied on by millions of students & professionals For math, science, nutrition, history Differentiating gives d dx(xy) 1 (xy)2 = y d dx (x2) x2 d dx (y) y d dx(x) x d dx(y) 1 x2y2 = 2xy x2 dy dx y x dy dx 1 x2y2 = 2xy x2 dy dx From here, just algebra your way through to an equation solved for dy dx y x dy dx = (2xy x2 dy dx)(1 x2y2)

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1) 0 0 2) 45 0 3) 60 0 4) tan –1 (2) Solution Given x 2 – 2xy tan A – y 2 = 0 Divide by x 2 => 1 – 2(y/x)tan A – y 2 /x 2 = 0 We know slope m = y/x So above equation becomes 1 – 2m tan A – m 2 = 0 => m 2 2m tan A – 1 = 0 (i) Given sum of slopes = 4 From (i), 2 tan A = 4 => tan A = 4/2 = 2 A = tan1 (2) HenceLimit as (x,y) approaching (0,0) of (xy)/ (x^2y^2) \square!If u= tan^1 (y^2/x) , show that x^2 d^2u/dx^2 y^2d^2u/dy^2 2xy d^2u/dxy^ if u= tan^1 (y^2/x) , show that x^2 d^2u/dx^2 y^2d^2u/dy^2 2xy d^2u/dxy^2 =sin2usin^2u Share Please log in or register to add a comment Please log in or register to answer this question

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I solved the first one Let the solution function be mathF/math To show that the equation is exact you need to show that the derivative of mathF_x/math (M) with respect to y is same as derivative of mathF_y/math (N) with respect to xF i n d t h e r e q u i r e d p a r t i a l d e r i v a t i v e s Considering the y constant and differentiate the z with respect to x only ∂ x ∂ z = ∂ x ∂ tan − 1 (x 2 − y 2 2 x y ) Apply the derivative rule d x d tan − 1 (u) = 1 u 2 1 d x d u , it gives ∂ x ∂ z = (x 2 − y 2 2 x y ) 2 1 1 ∂ x ∂ (x 2 − y 2 2 x y ) Apply the quotient rule d x d (v u ) = v 2 u ′ ⋅ v − v ′ ⋅ u ∂ x ∂ z = (x 2 − y 2 2 x y ) 2 1 1 (x 2 − y 2) 2 ∂ x ∂ (2 x yEULERS LINKS solve z homogeneous function degree n show x^2Ә^2u/Әx^2 y^2Ә^2u/Әy^22xy^2u/Әx Әy =n(n1)z https//youtube/gnn51DwOhA If u=x/(yz)y/(xz)

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Click here👆to get an answer to your question ️ If u = tan^1(x^3y^3/x y) , then x^2 ∂^2u/∂x^2 2xy∂^2u/∂x∂y y^2∂^2u/∂y^2 = ? Stack Exchange network consists of 178 Q&A communities including Stack Overflow, the largest, most trusted online community for developers to learn, share their knowledge, and build their careers Visit Stack Exchange1y2 = √ 1 sinxdx =⇒ tan−1y = −2 √ 1− sinxC y(0) = 1 =⇒ C = π 4 2 Therefore y(x) = tan(π 4 2(1− √ 1−sinx)) 3 Interval of definition By looking at an initial value problem dy/dx = f(x,y) with y(x0) = y0, it is not always possible to determine the domain of the solution y(x

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 Thank you 1)Does the function satisfy the hypotheses of the Mean Value Theorem on the given interval?If U = Sin − 1 X 1 3 Y 1 3 X 1 2 Y 1 2 Prove Hat X 2 ∂ 2 U ∂ 2 X 2 X Y ∂ 2 U ∂ X ∂ Y ∂ 2 U ∂ 2 Y = Tan U 144 Tan 2 U 13 Applied Mathematics 1 Advertisement Remove all adsPlease help Thanks in advance

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Answer to Show that the function z = tan^1(2xy/(x^2 y^2)) satisfies Laplace's equation;Tangente de x^22xyy^2x=2, (1,2) \square!Partial Differential Equations Exam 1 Review Solutions Spring 18 Exercise 1 Verify that both u= log(x2y2) and u= arctan(y=x) are solutions of Laplace's equation u xx u yy= 0 If u= log(x2 y2), then by the chain rule u x= 2x x 2 y) u xx= (x2 y2)(2) (2x)(2x) (x 2 y) 2y2 2x2 (x y2)2 and by the symmetry of uin xand y,

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 The solution of the differential equation 2x^(2)y(dy)/(dx) = tan(x^(2)y^(2))2xy^(2) , given y(1) = sqrt(pi/2) , is Updated On 281 To If u = tan–1 (x2 y2/ x y), prove that x ∂u/∂x y ∂u/∂y = 1/2 sin 2uGet stepbystep solutions from expert tutors as fast as 1530 minutes Your first 5 questions are on us!

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2 sin y(x sin y) dx 2x2 cos y dy = 0 3 dy/dx = (9x 4y 1) 4 y'=ywy'e21 5 dy/dr = sin(xy) 6 ry dx (x2 – 3y) dy = 0 7 (3 tanz 2 cos y) sec u dx tan zsin y dy = 0 8 (1 2y – 1) dr (2x 4y 3) dy = 0 9 (kev – u) du = 2c2(e2o ku) dv 10 y' 8x®y 2xy = 0 7 8 1 2 11 (y2 a sin o) COS Ꮖ , 4 12 r*yvryGet stepbystep solutions from expert tutors as fast as 1530 minutes Your first 5 questions are on us! Stack Exchange network consists of 178 Q&A communities including Stack Overflow, the largest, most trusted online community for developers to learn, share their knowledge, and build their careers Visit Stack Exchange

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