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Find the general solution for the following differential equation: y' + 4y = 5te-3t

Find the general solution for the following differential equation: y' + 4y = 5te-3t

Advanced Engineering Mathematics
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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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

Find the general solution for the following differential equation: y' + 4y = 5te-3t Then find the particular solution that satisfies the initial value y(0) = 1.2. General Solution: y(t) Particular Solution: y(t) If you don't get this in 5 tries, you can get a hint.
Transcribed Image Text:Find the general solution for the following differential equation: y' + 4y = 5te-3t Then find the particular solution that satisfies the initial value y(0) = 1.2. General Solution: y(t) Particular Solution: y(t) If you don't get this in 5 tries, you can get a hint.
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