12) Consider the initial value problem: [ ม" - ข = - 6t? | y(0) = 5 y' (0) = 3, %3D Where y = cje' + cze¬t + 6t² + 12 is the general solution of the differential equation y" – y = -6t2. Then, to determine the solution of the initial value problem it is necessary to solve the following system of linear equations: C1 +c2 = -7 a) |C1 + c2 = 3 c1 + c2 = -7 b) |C1 – c2 = 3 C1 + c2 = 7 c) C1 – C2 = 3

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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12)

12) Consider the initial value problem:
[ ม" - ข = - 6t?
| y(0) = 5
y' (0) = 3,
%3D
Where
y = cje' + cze¬t + 6t² + 12
is the general solution of the differential equation
y" – y = -6t2.
Then, to determine the solution of the initial value problem it is necessary to solve the following
system of linear equations:
C1 +c2 = -7
a)
|C1 + c2 = 3
c1 + c2 = -7
b)
|C1 – c2 = 3
C1 + c2 = 7
c)
C1 – C2 = 3
Transcribed Image Text:12) Consider the initial value problem: [ ม" - ข = - 6t? | y(0) = 5 y' (0) = 3, %3D Where y = cje' + cze¬t + 6t² + 12 is the general solution of the differential equation y" – y = -6t2. Then, to determine the solution of the initial value problem it is necessary to solve the following system of linear equations: C1 +c2 = -7 a) |C1 + c2 = 3 c1 + c2 = -7 b) |C1 – c2 = 3 C1 + c2 = 7 c) C1 – C2 = 3
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