Method of Separable Variables Q10

Method of Separable Variables Q10

Find the particular solution for the differential equation \(\frac{\mathrm{d}u}{\mathrm{d}t}-7u+3=0\) given that \(u=5\) when \(t=0\).

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Answer:\(\displaystyle u=\frac{32}{7}e^{7t}+\frac37\)

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