1. Solve the homogeneous differential equation with the given initial conditions. y" - 4y + 13y = 0 y[0] = 1 y[0] = 1 y'[0] =· 2. Solve the non-homogeneius equation with the given initial condition. y" - 4y + 13y = 10e* y[0] = 1 -1 y'[0] = -1

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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2nd order with complex roots
Problem 2
1. Solve the homogeneous differential equation with the given initial conditions.
11
y - 4y + 13y = 0
y [0] = 1 y' [0] = -1
2. Solve the non-homogeneius equation with the given initial condition.
y" - 4y + 13y = 10e-
y[0] = 1
y'[0] = -1
Transcribed Image Text:Problem 2 1. Solve the homogeneous differential equation with the given initial conditions. 11 y - 4y + 13y = 0 y [0] = 1 y' [0] = -1 2. Solve the non-homogeneius equation with the given initial condition. y" - 4y + 13y = 10e- y[0] = 1 y'[0] = -1
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