4. Use variation of parameters to find a particular solution of the DE y" - 4y' + 4y = 21 and then write down the general solution.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.6: The Inverse Trigonometric Functions
Problem 91E
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4. Use variation of parameters to find a particular solution of the DE y" - 4y' + 4y = 2 and
then write down the general solution.
5. The function y₁ = t cost is a solution to the DE t2y" - 2ty' + (t² + 2)y= 0. Use reduction of
order to find a second independent solution and write down the general solution.
Transcribed Image Text:4. Use variation of parameters to find a particular solution of the DE y" - 4y' + 4y = 2 and then write down the general solution. 5. The function y₁ = t cost is a solution to the DE t2y" - 2ty' + (t² + 2)y= 0. Use reduction of order to find a second independent solution and write down the general solution.
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