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Non-homogeneous Linear Equation with Constant Coefficients 4. Find the solution of (D2-4)y=4x-3e%. Ans. y=ex-x+C1e2X+C2e2x

Non-homogeneous Linear Equation with Constant Coefficients 4. Find the solution of (D2-4)y=4x-3e%. Ans. y=ex-x+C1e2X+C2e2x

Advanced Engineering Mathematics
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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Non-homogeneous Linear Equation with Constant Coefficients 4. Find the solution of (D2-4)y=4x-3e*. Ans. y=ex-x+c1e2x+C2e2x 5. Find the general solution of (D²-D)y=4e*+3ex. Ans. y=2xe*+(1/2)e2*+c1+c2e*+c3e* 6. Find the general solution of (D?+D)y=sinx. Ans. y=c1+ Cze* - (1/2)sinx - (1/2)cosx 7. Find the general solution of (D²-4D+4)y=e*. Ans. y=(c1+C2x)e2x+e*
Transcribed Image Text:Non-homogeneous Linear Equation with Constant Coefficients 4. Find the solution of (D2-4)y=4x-3e*. Ans. y=ex-x+c1e2x+C2e2x 5. Find the general solution of (D²-D)y=4e*+3ex. Ans. y=2xe*+(1/2)e2*+c1+c2e*+c3e* 6. Find the general solution of (D?+D)y=sinx. Ans. y=c1+ Cze* - (1/2)sinx - (1/2)cosx 7. Find the general solution of (D²-4D+4)y=e*. Ans. y=(c1+C2x)e2x+e*
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