Consider the following IVP: y"-3y'+2y = e3t; y(0) = 0, y'(0) = 0 Find the general solution. A y(t) e -' – 2e -2" + e") B y(t) 4 ) = - (e'- 2e -e -31) %3D y(1) = -(e² – 2e' + 2e ³") (C

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
Section11.2: Linear First-order Differential Equations
Problem 1YT
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Question 19
Consider the following IVP:
y"-3y'+2y = et; y(0) = 0, y'(0) = 0
Find the general solution.
e-l – 2e -2' + e 31)
A
y(t)
B
y(t)
(c) y(t) =
2
(e2' – 2e'+ 2e3)
D
2
Transcribed Image Text:Question 19 Consider the following IVP: y"-3y'+2y = et; y(0) = 0, y'(0) = 0 Find the general solution. e-l – 2e -2' + e 31) A y(t) B y(t) (c) y(t) = 2 (e2' – 2e'+ 2e3) D 2
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