Use variation of parameters to find a general solution to the differential equation given that the functions y₁ and y₂ are linearly independent solutions to the corresponding homogeneous equation for t> 0. ty" +(3t-1)y'-3y=9t²e-3t. Y₁ =3t-1, Y₂ = e-3t -31. A general solution is y(t) = c₁ (3t-1)+c₂e²³ -31

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.CR: Chapter 11 Review
Problem 34CR
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Ll.173.

Subject:- Advance mathematics

Use variation of parameters to find a general solution to the differential equation given that the functions y₁ and y₂ are linearly independent solutions to the corresponding homogeneous equation for t > 0.
ty' +(3t-1)y' - 3y=9t²e-3t;
Y₁ = 3t-1,
Y₂ = e-3t
• ( - 17/18 1²2) 0 - ³1 |
A general solution is y(t)= c₁ (3t-1)+c₂e-31₁
Transcribed Image Text:Use variation of parameters to find a general solution to the differential equation given that the functions y₁ and y₂ are linearly independent solutions to the corresponding homogeneous equation for t > 0. ty' +(3t-1)y' - 3y=9t²e-3t; Y₁ = 3t-1, Y₂ = e-3t • ( - 17/18 1²2) 0 - ³1 | A general solution is y(t)= c₁ (3t-1)+c₂e-31₁
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