Question: solve the given differential equations by writing the general solution. Write all of the steps of the solutions. 1. y - 100 y = 3t

solve the given differential equations by writing the general solution. Write all of the steps of the solutions.

1. y" - 100 y = 3t2 e5t + cos t - t sint

2. 4y" + y = e-2t sin( 0.5t) + 6t cos (0.5 t)

3. y" + 8y' + 16y = e-4t + (t2 + 5) e-4t

4. Solve the given DE: y" + 4y' + 4y = te -2t

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