In this problem you will use variation of parameters to solve the nonhomogeneous equation y" – 4y + 4y = 2e² A. Write the characteristic equation for the associated homogeneous equation. (Use r for your variable.) B. Write the fundamental solutions for the associated homogeneous equation and their Wronskian. Yi = Y2 = w (y1, y2) = C. Compute the following integrals. dt%3D W y28 dt =D W D. Write the general solution. (Use c1 and c2 for c1 and c2). y =

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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1 A, B , C,D
In this problem you will use variation of
parameters to solve the nonhomogeneous equation
y" – 4y + 4y = 2e2
A. Write the characteristic equation for the associated
homogeneous equation. (Use r for your variable.)
B. Write the fundamental solutions for the associated
homogeneous equation and their Wronskian.
Yi =
y2 =
w(y1, y2) =
C. Compute the following integrals.
Y1 8
dt3D
W
y28
dt 3=D
W
D. Write the general solution. (Use c1 and c2 for c1
and c2).
y =
(Note: Your general solution will only be correct if it is
a general solution to the differential equation.)
Transcribed Image Text:In this problem you will use variation of parameters to solve the nonhomogeneous equation y" – 4y + 4y = 2e2 A. Write the characteristic equation for the associated homogeneous equation. (Use r for your variable.) B. Write the fundamental solutions for the associated homogeneous equation and their Wronskian. Yi = y2 = w(y1, y2) = C. Compute the following integrals. Y1 8 dt3D W y28 dt 3=D W D. Write the general solution. (Use c1 and c2 for c1 and c2). y = (Note: Your general solution will only be correct if it is a general solution to the differential equation.)
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