By using variation of parameters, determine the general solution of t²y" - 3ty' +4y=t, t > 0 given that y₁ (t) = t², 3₂(t) = t² lnt constitute a fundamental set of solutions of the homogeneous equation.

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
Section11.3: Euler's Method
Problem 1YT: Use Eulers method to approximate the solution of dydtx2y2=1, with y(0)=2, for [0,1]. Use h=0.2.
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By using variation of parameters, determine the general solution of
t²y" 3ty + 4y = t³, t> 0
given that y₁ (t) = t², y₂(t) = t² lnt constitute a fundamental set of solutions of
the homogeneous equation.
Transcribed Image Text:By using variation of parameters, determine the general solution of t²y" 3ty + 4y = t³, t> 0 given that y₁ (t) = t², y₂(t) = t² lnt constitute a fundamental set of solutions of the homogeneous equation.
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ISBN:
9780321964038
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GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
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Pearson Addison Wesley,