Consider the following IVP: y"-3y'+2y = e3t; y(0) = 0, y'(0) = 0 Find the general solution. y(t) 31 + B - (e' – 2e2r – e -31) 4 y (t) -2r © y(t) 2 D y (t) = (e2"– 2e'+2er)

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Consider the following IVP:
y"-3y'+2y = e3t; y(0) = 0, y'(0) = 0
Find the general solution.
y(t)
31
+
B
- (e' – 2e2r – e -31)
4
y (t)
-2r
© y(t)
2
D
y (t) =
(e2"– 2e'+2er)
Transcribed Image Text:Consider the following IVP: y"-3y'+2y = e3t; y(0) = 0, y'(0) = 0 Find the general solution. y(t) 31 + B - (e' – 2e2r – e -31) 4 y (t) -2r © y(t) 2 D y (t) = (e2"– 2e'+2er)
Consider the following IVP:
y' = et ; y(0) = 2
Find the general solution.
A y (t) = 1 + e'
(B y (t) = -1 + e¯t
(c) y(t) = - 1 – e'
(D y (t) = 1 – e-
Transcribed Image Text:Consider the following IVP: y' = et ; y(0) = 2 Find the general solution. A y (t) = 1 + e' (B y (t) = -1 + e¯t (c) y(t) = - 1 – e' (D y (t) = 1 – e-
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