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" + (6t-1)y'-6y=7t² e-6t; Y₁ = 6t-1, Y₂ = e *** A general solution is y(t) =

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
Section11.1: Solutions Of Elementary And Separable Differential Equations
Problem 15E: Find the general solution for each differential equation. Verify that each solution satisfies the...
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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.
- 6t
ty" + (6t-1)y' - 6y=7t²e - 6t,
Y₁ = 6t-1, Y₂ = e
A general solution is y(t) = .
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. - 6t ty" + (6t-1)y' - 6y=7t²e - 6t, Y₁ = 6t-1, Y₂ = e A general solution is y(t) = .
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