The general solution of uxx + 2ux + 5u = 0 is given by %3D O A. None O B. u(x, y) = e=>(f(x) cos(2y) + g(x) sin(2y)) ОС. u(x,y) = e-Yf(x +(-1+2i)y) + e-g(x +(-1– 2i)y) O D. u(x, y) = e-*f((-1+2i)x + y) + e*g((-1– 2i)x + y) O E. u(x,y) = e¬*(f(y) cos(2x) + g(y) sin(2x))
The general solution of uxx + 2ux + 5u = 0 is given by %3D O A. None O B. u(x, y) = e=>(f(x) cos(2y) + g(x) sin(2y)) ОС. u(x,y) = e-Yf(x +(-1+2i)y) + e-g(x +(-1– 2i)y) O D. u(x, y) = e-*f((-1+2i)x + y) + e*g((-1– 2i)x + y) O E. u(x,y) = e¬*(f(y) cos(2x) + g(y) sin(2x))
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.
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