Consider the following initial value problem: 2 tx' (t) = -3 x(t) + 2t ,x(1) =...

 

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Consider the following initial value problem: 2 tx' (t) = -3 x(t) + 2t ,x(1) = 2 -2 t-1 and x2(t) 2t2 are the fundamental solutions to the associated homoge- (a) Show that x1 (t) 2t- 12 neous system. (b) Use variation of parameters for systems to find the solution to the problem. Consider the following initial value problem: 2 tx' (t) = -3 x(t) + 2t ,x(1) = 2 -2 t-1 and x2(t) 2t2 are the fundamental solutions to the associated homoge- (a) Show that x1 (t) 2t- 12 neous system. (b) Use variation of parameters for systems to find the solution to the problem.