Question: 2 x ' ' ( t ) - 5 x ' ( t ) - 3 x ( t ) = 4 5 e 2

2x''(t)-5x'(t)-3x(t)=45e2t,x(0)=2,x'(0)=1 second order differential equ. system
a) convert to first order dif eq system
b) find the solution using fourth runga kutta, taking step size h=0.05 and in the [0,0.05] interval. if you have to make a chice, please solve b
2 x ' ' ( t ) - 5 x ' ( t ) - 3 x ( t ) = 4 5 e 2

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