Find the general solution for the following differential equation: y' + 2y = 5e-t – 3t y(t) =
Find the general solution for the following differential equation: y' + 2y = 5e-t – 3t y(t) =
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:
This is a linear, first-order, non-homogeneous equation of the form y'+p(x)y=f(x), so you will use variation of parameters to solve it. Remember that there are two steps:
Find any solution of the associated homogenous equation, y1.
Set y= uy1 where u is a mystery function; you can use the formula that u'=f(x)/y1.
Which should Find the general solution for the following differential equation
Transcribed Image Text:Find the general solution for the following differential equation:
y' + 2y = 5et - 3t
y(t)
=
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