EXERCISE 6 Find the general solution of the differential equation y" + 4y' + 4y = x²e-2x, x>0, y = y(x), using the parameter variation method (Lagrange method).

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.
Chapter11: Differential Equations
Section11.1: Solutions Of Elementary And Separable Differential Equations
Problem 5E
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EXERCISE 6
Find the general solution of the differential equation
y" + 4y' + 4y = x-²e-²x, x > 0, y = y(x),
using the parameter variation method (Lagrange method).
Transcribed Image Text:EXERCISE 6 Find the general solution of the differential equation y" + 4y' + 4y = x-²e-²x, x > 0, y = y(x), using the parameter variation method (Lagrange method).
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Pearson Addison Wesley,