Note:-• Do not provide handwritten solution. Maintain accuracy and quality in your answer. Take care of plagiarism.• Answer completely.• You will get up vote for sure. 7. For the differential equation (1-2x)y" +2y + (2x-3)y=e¹(a) Write the associated homogeneous equation and check that y₁ (r) = e* and y2(x) = re are twolinearly independent solutions of the associated equations.(b) Check that yp(x) = -le is a solution of the full equation.(c) Use superposition principle to write down the general solution of the full equation.(d) Use the existence theorem or the Wronskian to find the intervals on which the solution is valid.

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For the differential equation (1-2r)y" +2y + (2x-3)y=e-² (a) Write the associated homogeneous equation and check that 3₁ (r) = e² and y₂(r) = re are two linearly independent solutions of the associated equations. (b) Check that yp(x) = -le is a solution of the full equation. (c) Use superposition principle to write down the general solution of the full equation.

For the differential equation (1-2r)y" +2y + (2x-3)y=e-² (a) Write the associated homogeneous equation and check that 3₁ (r) = e² and y₂(r) = re are two linearly independent solutions of the associated equations. (b) Check that yp(x) = -le is a solution of the full equation. (c) Use superposition principle to write down the general solution of the full equation.

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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Note:- Do not provide handwritten solution. Maintain accuracy and quality in your answer. Take care of plagiarism. Answer completely. You will get up vote for sure.
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