In a well-written paragraph, explain the method of solving a differential equation using Laplace transforms. Be sure to address what happens to the differential equation under the transformation (i.e., what kind of equation is obtained in the transform domain, and what this allows us to do). Provide a simple, worked example of your own devising to illustrates the points in your explanation.

Advanced Engineering Mathematics
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In a well-written paragraph, explain the method of solving a differential equation using Laplace transforms. Be sure to address what happens to the differential equation under the transformation (i.e., what kind of equation is obtained in the transform domain, and what this allows us to do). Provide a simple, worked example of your own devising to illustrates the points in your explanation.
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