Solve the following ODE 3t. y" – 6y' + 9y = t²et; y(0) = 0, y'(0) = %3D

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter4: Calculating The Derivative
Section4.3: The Chain Rule
Problem 4YT: YOUR TURN Find dy/dx if y=5x2-6x-2.
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Solve the following ODE
y" – 6y' + 9y = t²e3t;
y(0) = 0, y'(0) = 1.
Transcribed Image Text:Solve the following ODE y" – 6y' + 9y = t²e3t; y(0) = 0, y'(0) = 1.
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