Engineering analysis. Q3:a\ Solve, the following 1st-order linear initial value problem differential equations, using themethod of integrating factor:1) kywith y(0) = -3(2) y' - 2y = 2est + 5e²t,3) (t+1)y' - 2y = 2t, y(0) = 4 4) += cos x, y(n) = 0dxb\A 1 kg mass is attached to a spring with constant 13N/m. The system is immersed in a mediumwhich offers a damping force numerically equal to 6 times the instantaneous velocity. If x is thedisplacement of the mass from equilibrium, measured in meters, then x" + 6x' + 13x = 0. Findthe general solution describes the displacement of the mass.

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Answered: r: 2) y' - 2y = 2e5t + 5e²t, with y(0)…

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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r: 2) y' - 2y = 2e5t + 5e²t, with y(0) = -3