Use the method of variation of parameters to solve the initial value problem x= Ax+f(t). x(a)=x, using the following values. x(t)= A= 1:10- f(t)= 1 -1 6t 2 0 [:]~-[ 0 x(0) = -2 sint sint cost-sint cost+ sint

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A: Step 1:Step 2: Step 3: Step 4:

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A: f(x) = x3 + x + 6Recall the famous rule of differentiation: d(xn) / dx = nxn-1

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A: Hey, since there are multiple questions posted, we will answer the first question. If you want any…

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A: Since you have asked multiple question, we will solve the first question for you as per our guide…