Solve the following differential equations using power series. 2. (x - 2)y' = 3y 4. (x...

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Solve the following differential equations using Laplace transform A d2y (t)/dt2 + 2dy(t)dt +y (t) =e-2t, y (0) = y t (0) = 0 A d2y (t)/dt2 + 4dy (t)/dt) +4y (t) =u(t), y (0) 0;y (0) = 1
Solve the following differential equations using Laplacetransforms. dx(t) + 4x(t) = e", x(0) = 1 |(a) dt dx(t) (b) + 6x(t) = 4u(t), x(0) = 2 %3D dt
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