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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" +(3t-1)y'-3y=9t²e-3t. Y₁ =3t-1, Y₂ = e-3t -31. A general solution is y(t) = c₁ (3t-1)+c₂e²³ -31

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

Advanced Engineering Mathematics
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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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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