Solve This Ordinary Differential Equation Using Laplace Transforms

Problem of the Day

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The Problem

Solve the following ordinary differential equation

using the method of Laplace transforms.

Problem of the Day

The Solution

If you need to brush up your knowledge on Laplace transforms, you may want to read these two articles, first:

Laplace Transforms in Python

Using Laplace Transforms in Python to Solve Differential Equations

First, we perform a Laplace transform of the differential equation: