I need a step by step solution Find a general solution to the differential equation.y"-6y' +9y=t4 e 3tThe general solution is y(t) = C₁ e 3t+c₂te³t+6e3t***

We have to find the general solution to the differential equation y''-6y'+9y=t-4e3t .

Answered: Find a general solution to the…

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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Find a general solution to the differential equation. y"-6y' +9y=t4 e 3t The general solution is y(t) = C₁ e 3t+c₂te3t+ -2 3t + c₂te ³1 + ²/1-² e