Solve the following initial value problem. у"" - 2y" + 10y - 60 е 2x, у" (0) 3 30, у' (0) %3D15, у(0) %3D7 y(x) =|
Solve the following initial value problem. у"" - 2y" + 10y - 60 е 2x, у" (0) 3 30, у' (0) %3D15, у(0) %3D7 y(x) =|
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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![Solve the following initial value problem.
\[
y''' - 2y'' + 10y' = 60 \, e^{2x};
\]
\[
y''(0) = 30, \, y'(0) = 15, \, y(0) = 7
\]
\( y(x) = \, \boxed{\phantom{y}} \)
To solve the given differential equation with the specified initial conditions, you need to find the function \( y(x) \) that satisfies both the differential equation and these conditions.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F502330eb-9fa1-41eb-8716-374edceb5782%2F265aff4b-6702-490a-9edb-6739f509aa05%2F1zoaf5_processed.png&w=3840&q=75)
Transcribed Image Text:Solve the following initial value problem.
\[
y''' - 2y'' + 10y' = 60 \, e^{2x};
\]
\[
y''(0) = 30, \, y'(0) = 15, \, y(0) = 7
\]
\( y(x) = \, \boxed{\phantom{y}} \)
To solve the given differential equation with the specified initial conditions, you need to find the function \( y(x) \) that satisfies both the differential equation and these conditions.
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