Given y = Cje** + Cze-3× is a general solution of the differential equation У - у - 12у %3D 0. Find a solution to the initial value problem У - У — 12у %3D 0, у(0) %3D 2, у (0) %3D3

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Given
y = Cje** + Cze-3x
is a general solution of the differential equation
y" - y - 12y = 0.
Find a solution to the initial value problem
У - У — 12у %3 0, у(0) — 2, у (0) 3
4 x
a) Oy= 2 e** +3e¬3x
b) Oy = 3e4* +2e=3x
11 et * + 10 e-3 x
y =
c)
7
9 et x + 5 e-3 x
d) Oy =
7
e) Oy = -et* – 2 e-3 ×
f)
O None of the above.
Transcribed Image Text:Given y = Cje** + Cze-3x is a general solution of the differential equation y" - y - 12y = 0. Find a solution to the initial value problem У - У — 12у %3 0, у(0) — 2, у (0) 3 4 x a) Oy= 2 e** +3e¬3x b) Oy = 3e4* +2e=3x 11 et * + 10 e-3 x y = c) 7 9 et x + 5 e-3 x d) Oy = 7 e) Oy = -et* – 2 e-3 × f) O None of the above.
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