A nonhomogeneous differential equation, a complementary solution ye, and a particular solution y, are given. Find a solution satisfying the given initial conditions. y" - 2y' - 3y = 6; y(0) = 3, y'(0) = 18 Yc = c1 e -X + c2 e 3X; y, = - 2 The solution is y(x) =
A nonhomogeneous differential equation, a complementary solution ye, and a particular solution y, are given. Find a solution satisfying the given initial conditions. y" - 2y' - 3y = 6; y(0) = 3, y'(0) = 18 Yc = c1 e -X + c2 e 3X; y, = - 2 The solution is 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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Transcribed Image Text:A nonhomogeneous differential equation, a complementary solution y,, and a particular solution y, are given. Find a solution satisfying the given initial conditions.
у"- 2y' - Зу 3D 6;B у(0) — 3, у'(0) — 18
Yc = C1 e ¯^ + C2
3x.
e
Yp = - 2
The solution is y(x) =.
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