Answer to Question #25891 in Differential Equations for Melvin

Question #25891
Let p be a real number. Consider the PDEs xu_x + yu_y = pu −∞< x < ∞, −∞ < y < ∞. (a) Find the characteristic curves for the equations. (b) Let p = 4. Find an explicit solution that satisfies u = 1 on the circle x2 + y2 = 1. (c) Let p = 2. Find two solutions that satisfy u(x, 0) = x^2, for every x > 0. I know how to solve a) but b,c was not that easy. Solution for b should be u(x,y)=(x^2+y^2) and for c= u(x; y) = x^2 + ky^2, where k is a real nr. u_x = partial of u with respect to x u_y = partial of u with respect to y Thanks for the help it's much appriciated! Melvin
Expert's answer

Not answered

Need a fast expert's response?

Submit order

and get a quick answer at the best price

for any assignment or question with DETAILED EXPLANATIONS!

Comments

No comments. Be first!

Leave a comment

Ask Your question

LATEST TUTORIALS
New on Blog
APPROVED BY CLIENTS
paypal