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Solving Differential Equations

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I am having problems solving this linear equation. I think it's the sin that is throwing me off. Can you show me how to solve this?

dy/dt = 2y + sin 2t

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A differential equation is solved. The solution is detailed and well presented. The response received a rating of "5/5" from the student who originally posted the question.

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We can solve the equation

Using a simple integration factor.

For an equation of a form:

We define:

Then multiplying this equation by the integration factor we get:

Integrating both sides we obtain the general solution (not forgetting the ...

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