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  3. find solutions to the following odes: • y¨ ? y?

Find solutions to the following ODEs: • y¨ ? y? ? 2y = t, y(0) =...

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Advance Math

Find solutions to the following ODEs:

• y¨ ? y? ? 2y = t, y(0) = 0, y?(0) = 1

• y¨ ? 2 ?y + y = 4 sin(t), y(0) = 1, y?(0) = 0

• y¨ = t 2 + t + 1 (find general solution only)

• y¨ + 4y = t ? 2 sin(2t), y(?) = 0, y?(?) = 1

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