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"' + (5t-1)y' - 5y = 2t²e-5t. A general solution is y(t)= - 5t y₁ = 5t-1₁ y₂ = e

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
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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.
ty"' + (5t-1)y' - 5y = 2t²e-5t;
Y₁ = 5t-1,
y₂ = e = 5t
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. ty"' + (5t-1)y' - 5y = 2t²e-5t; Y₁ = 5t-1, y₂ = e = 5t A general solution is y(t) =
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ISBN:
9780321964038
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GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:
Pearson Addison Wesley,