https://drive.google.com/file/d/1nygC0NkRdd1wwuBdjWaiEE5B0dEWrua0/view?usp=sharing

Image is too big so I had to share via Google Drive

Storytime:

First you take the Characteristic Equation: r^2 -7r -10 =0. You then factor it and get the roots ( r1=5 & r2=2). Then you follow case 1 and you get the answer from part A (shown above). For part B you take the derivative of part A, you then plug in the initial values given and solve for C1 and C2. Then you plug it back into Yc and that’s your answer.