Q4. Solve the given ODE using the method of undetermined coefficients. - y" - 4y = (x² − 3)(sin2x)

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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Subject Differential Equation

solve according this rule

 

TABLE 4.4.1 Trial Particular Solutions
g(x)
Form of yp
1. 1 (any constant)
A
2. 5x + 7
Ax + B
3. 3x² - 2
Ax² + Bx + C
4. x³ = x + 1
Ax³ + Bx² + Cx + E
5. sin 4x
A cos 4x + B sin 4x
6. cos 4x
A cos 4x + B sin 4x
Ae5x
7. e5x
Transcribed Image Text:TABLE 4.4.1 Trial Particular Solutions g(x) Form of yp 1. 1 (any constant) A 2. 5x + 7 Ax + B 3. 3x² - 2 Ax² + Bx + C 4. x³ = x + 1 Ax³ + Bx² + Cx + E 5. sin 4x A cos 4x + B sin 4x 6. cos 4x A cos 4x + B sin 4x Ae5x 7. e5x
Q4. Solve the given ODE using the method of undetermined coefficients.
y" – 4y = (x² − 3)(sin2x)
Transcribed Image Text:Q4. Solve the given ODE using the method of undetermined coefficients. y" – 4y = (x² − 3)(sin2x)
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