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<exercise masterit-seed="6873" masterit-slug="C2" masterit-name="Non-homogeneous first-order linear ODE">
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<statement>
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<p>Explain how to find the general solution to the given ODE.</p>
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<me> {y'} = 3 \, {y} + 14 \, e^{\left(-4 \, t\right)} </me>
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</statement>
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<answer>
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<me> {y} = k e^{\left(3 \, t\right)} - 2 \, e^{\left(-4 \, t\right)} </me>
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</answer>
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</exercise>
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