2. Find the solution of the given initial value problem using Method of Undetermined Coefficient (MUC): y(3) – 3y(2) + 2y(1) = 3x² – e2x + sin 2x y(0) = 1,y'(0) = –2, y"(0) = 3 %3D %3D
2. Find the solution of the given initial value problem using Method of Undetermined Coefficient (MUC): y(3) – 3y(2) + 2y(1) = 3x² – e2x + sin 2x y(0) = 1,y'(0) = –2, y"(0) = 3 %3D %3D
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter11: Differential Equations
Section11.CR: Chapter 11 Review
Problem 33CR
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Transcribed Image Text:2. Find the solution of the given initial value problem using Method of
Undetermined Coefficient (MUC):
y(3) – 3y(2) + 2y(1) = 3x² – e2x + sin 2x
y(0) = 1,y'(0) = -2, y"(0) = 3
Find its general solution of the homogeneous equation: {
a. y. = C1 + cze i+ Cze2x
C. Ye = C1 + Cze* + c3e2x
b. ye = C + cze-* + Cze-2x
d. y. = + e2*(c2 cos(x) + c3 sin(x)
Find its particular solution. -
a. Yp
x. 9x2-39x
x³-e2x 9x²+21x
b. Yp
2
2
3
sin(2x) +cos(2x)
x+e2z, 9x+21x
sin(2x) +
cos(2x)
10
136
136
40
9x²+21x
с. Ур
cos(2x) +sin(2x)
d. Yp
2
4
2
4
sin(2x) +
cos(2x)
40
Find its solution with a given initial value problem i
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