solve the (Differential Equations + circuit) it has 2 parts. follow the instruct

solve the (Differential Equations + circuit) it has 2 parts.
follow the instructions in the attached document.
Part 1: Solve given IVP by hand using Laplace transforms
Part 2: Solve modified IVP by hand using Laplace transforms
make sure the work provided is entirely correct and fully mathematically justified

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