Consider the following second-order linear ODE: (2t³-t²)y" - 2t²y + 2y = 0 (t> 0) (a) Verify that y(t) = t2 is a solution. (b) Calculate a general solution of this equation.
Consider the following second-order linear ODE: (2t³-t²)y" - 2t²y + 2y = 0 (t> 0) (a) Verify that y(t) = t2 is a solution. (b) Calculate a general solution of this equation.
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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Transcribed Image Text:3. Consider the following second-order linear ODE:
(2t³t²)y" - 2t²y + 2y = 0 (t> 0)
(a) Verify that y₁ (t) = t2 is a solution.
(b) Calculate a general solution of this equation.
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