d² y dx² 2 −9y=x, y(0) = 0, y'(0) = 5

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Related questions
Question
C
Solve the differential equation subject to the given conditions.
d² y
- 2 dy + y = 10, y(0) = 2, y'(0) = 3
dx²
dx
a)
b)
c)
d)
d'y
dx²
d'y
dx²
d² y
dx²
+9y = cos(3x), y(0) = 3, y'(0) = 1
-9y = x, y(0) = 0, y'(0) = 5
dy
dx
+4-
+ 4y
=
In x
e²x
y(4) = 0, y'(4) = 1
Transcribed Image Text:Solve the differential equation subject to the given conditions. d² y - 2 dy + y = 10, y(0) = 2, y'(0) = 3 dx² dx a) b) c) d) d'y dx² d'y dx² d² y dx² +9y = cos(3x), y(0) = 3, y'(0) = 1 -9y = x, y(0) = 0, y'(0) = 5 dy dx +4- + 4y = In x e²x y(4) = 0, y'(4) = 1
Expert Solution
Step 1: Write the given ODE

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