Find the general solution for the following differential equation: ty' + 2y = 5t² + 5t - 7 Then find the particular solution that satisfies the initial value y(1) = -9.3. General Solution: y(t) = Particular Solution: y(t) If you don't get this in 5 tries, you can get a hint. =

Find the general solution for the following differential equation: ty' + 2y = 5t² + 5t - 7 Then find the particular solution that satisfies the initial value y(1) = -9.3. General Solution: y(t) = Particular Solution: y(t) If you don't get this in 5 tries, you can get a hint. =

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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Question

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