I need help and I try to see if I am in the right track Find the general solution for the following differential equation:ty' + 2y = 5t² + 5t - 7Then find the particular solution that satisfies the initial value y(1) = -9.3.General Solution: y(t)=Particular Solution: y(t)If you don't get this in 5 tries, you can get a hint.= Problem S. Find the general solution for the followingdifferential equationty² + 2y = 5 € ² + 56-72ty₁t2g = 029-29 = -29ty₁ = ytỷtsy2Skj dy dv. f/2 = |dtInly) th=-2/n(t) + C₁cimgitek = = 2loce) + C₂1y₁ = C(=D(E) + (₁)4 y = Ce=²ince) | 4 This is a correct9₁ = @²²/acty4>7complementary equation?

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Answered: Find the general solution for the…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

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Find the general solution for the following differential equation: ty' + 2y = 5t² + 5t - 7 Then find the particular solution that satisfies the initial value y(1) = -9.3.