Solve x(y^2+U)Ux -y(x^2+U)Uy =(x^2-y^2)U, U(x,-x)=1

Expert Solution

Jere i solved the pde with langrage ethod it can be diffrent from your method but the amswer would be same....

Please ask me in comments if you have any doubts

Colby Messinger answered 1 year ago

1. Calculate the Transversality Conditions 2. and then solve the ff: a.) Ux +Uy =1-U U (X,...

1. Calculate the Transversality Conditions 2. and then solve the ff: a.) Ux +Uy =1-U U (X, X+X^2) = SIN X b) XUx + YUy= 4U with initial condition u=1 on the unit circle x^2 +y^2 =1 ( you will need to parameterize the circle in terms of parameter r).

Hui's utility function is U(x,y) = 1.6x+y2. As usual, let MRS=Ux / Uy be Hui's marginal...

Hui's utility function is U(x,y) = 1.6x+y2. As usual, let MRS=Ux / Uy be Hui's marginal rate of substitution. What is the value of the derivative dMRS/dx at the point were x=4.9 and y=7.7?

x2uxx --2xyuxy -- 3y2uyy = 0 u(x,1) = x, uy(x,1) = 1

solve y' +(x+2/x)y =(e^x)/x^2 ; y(1)=0

Given the utility function U ( X , Y ) = X 1 3 Y 2...

Given the utility function U ( X , Y ) = X 1 3 Y 2 3, find the absolute value of the MRS when X=10 and Y=24. Round your answer to 4 decimal places.

Given Fxy(x,y)=u(x)u(y)[1-Exp(-x/2)-Exp(-y/2)+Exp(-(x+y)/2)]. Note: The step functions mean that Fxy(x,y)=0 for either or both x<0 and y<0....

Given Fxy(x,y)=u(x)u(y)[1-Exp(-x/2)-Exp(-y/2)+Exp(-(x+y)/2)]. Note: The step functions mean that Fxy(x,y)=0 for either or both x<0 and y<0. Any x or y argument range below zero must be truncated at zero. Determine: a) P{X<=1,Y<=2} Ans: 0.2487 b) P{0.5<X<1.5} Ans: 0.3064 c) P{-1.5<X<=2, 1<Y<=3} Ans: 0.2423

Solve x′=x−8y, y′=x−3y, x(0)=2, y(0)=1

Solve (1+e^x)dy/dx+(e^x)y=3x^2+1 Solve (x^3+y^3)dx+3xy^2 dy = 0 Solve (y-cos y)dx + (xsiny+x)dy = 0 Solve (1+ln...

Solve (1+e^x)dy/dx+(e^x)y=3x^2+1 Solve (x^3+y^3)dx+3xy^2 dy = 0 Solve (y-cos y)dx + (xsiny+x)dy = 0 Solve (1+ln x +y/x)dx = (1-lnx)dy Solve (y^2+yx)dx - x^2dy =0 Solve (x^2+2y^2)dx = xydy Solve Bernoulli's Equation x dy/dx + 2y = (x^4)(e^x)(y^2) Solve Bernoulli's Equation (1+x^2) dy/dx = 2xy +(e^x)(y^2) Solve IVP (3e^(x^2))dy + (xy^2)dx=0 ; y(1) = 2 Solve IVP dy/dx -2xy = e^(x^2) ; y(0)=0 Solve IVP (x^2+y^2)dx+(2xy)dy=0; y(1)=1 6. Mixture Problem Initially 40 lb of salt is dissolved in a large...

1. solve the IVP: xy''-y/x=lnx, on (0, inifnity), y(1)=-1, y'(1)=-2 2.solve the IVP: y''-y=(e^x)/sqrtx, y(1)=e, y'(1)=0...

1. solve the IVP: xy''-y/x=lnx, on (0, inifnity), y(1)=-1, y'(1)=-2 2.solve the IVP: y''-y=(e^x)/sqrtx, y(1)=e, y'(1)=0 3. Given that y1(x)=x is a solution of xy''-xy'+y=0 on (0, inifinity, solve the IVP: xy''-xy'+y=2 on(0,infinity), y(3)=2, y'(3)=1 14. solve the IVP: X'=( 1 2 3) X, X(0)=(0 ##################0 1 4####### -3/8 ##################0 0 1 ########1/4

Suppose that a consumer is at a bundle, (x0,y0), such that Ux/px > Uy/py. Assume a...

Suppose that a consumer is at a bundle, (x0,y0), such that Ux/px > Uy/py. Assume a well-behaved utility function. (a) Represent this situation graphically, in the commodity space (hint: you will have an indifference curve, a budget line, and the point (x0,y0)). (b) What change in consumption will this consumer need to make so that Ux/ px = Uy/py and why.

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