Question

1. Solve the following IVP's given the initial conditions: a) y'(t) - 10(√t)y(t) = e(20/3)(t^3/2) ;...

1. Solve the following IVP's given the initial conditions:

a) y'(t) - 10(√t)y(t) = e(20/3)(t^3/2) ; y(0) = 2

b) x' - 2x = (et)(cos(t)) ; x(0) = 5

c) dx/dt + (1/t)x = ln(t) ; x(1) = 1/2

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