Solve the homogeneous differential equation with the given initial conditions. y" + 5y +6y=0 y(0) = -1 y'(0) = 1 - Solve the non-homogeneous differential equation. 11 y + 5y + 6y= 10 cos(x) y(0) = -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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#1 2nd order with real roots
Problem 1
1. Solve the homogeneous differential equation with the given initial conditions.
y(0) = -1 y'(0) = 1
+ 5y' + 6y = 0
2. Solve the non-homogeneous differential equation.
y" + 5y + 6y = 10 cos(x)
y +
y (0) = -1
y'(0) = 1
Transcribed Image Text:Problem 1 1. Solve the homogeneous differential equation with the given initial conditions. y(0) = -1 y'(0) = 1 + 5y' + 6y = 0 2. Solve the non-homogeneous differential equation. y" + 5y + 6y = 10 cos(x) y + y (0) = -1 y'(0) = 1
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