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4y" + 2y" = e *(x' + 4) + 4e 2- 5x 4 9

4y" + 2y" = e *(x' + 4) + 4e 2- 5x 4 9

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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Let us consider the differential equation 4y" + 2y" - e*(x² + 4) + 4e 2- 5x* + 9 Which of the following is one of the parts of the solution that can be suggested for the second-sided (y,) of this differential equation? ,= (ax? + bx +c)e?* b) , (ax? + bx +c)e *x² c , = (Ax +Bx² + Cx + D)x² d) - (Asinx + BOsx)ez y, = (Ax? + Bx² + Cx + D)x hin isaretlendiğini gorene kadar
Transcribed Image Text:Let us consider the differential equation 4y" + 2y" - e*(x² + 4) + 4e 2- 5x* + 9 Which of the following is one of the parts of the solution that can be suggested for the second-sided (y,) of this differential equation? ,= (ax? + bx +c)e?* b) , (ax? + bx +c)e *x² c , = (Ax +Bx² + Cx + D)x² d) - (Asinx + BOsx)ez y, = (Ax? + Bx² + Cx + D)x hin isaretlendiğini gorene kadar
Expert Solution
Step 1

In this question, we have to find the particular integral for the linear differential equation

4y'''+2y''=e-x(x2+4)+4e-x/2-5x3+9

 

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