What is the solution for (dy)/(dt)+7y=e^{4t},y(0)=10 ?

The solution for (dy)/(dt)+7y=e^{4t},y(0)=10 is y=(e^{4t})/(11)+(109)/(11e^{7t)}

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(dy)/(dt)+7y=e^{4t},y(0)=10

\frac{d y}{d t} + 7 y = e^{4 t}, y (0) = 10

y = \frac{e ^{4 t}}{11} + \frac{109}{11 e ^{7 t}}

Solution steps

\frac{d y}{d t} + 7 y = e^{4 t}

Solve linear ODE:

y = \frac{e ^{4 t}}{11} + \frac{109}{11 e ^{7 t}}

y = \frac{e ^{4 t}}{11} + \frac{109}{11 e ^{7 t}}

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What is the solution for (dy)/(dt)+7y=e^{4t},y(0)=10 ?
The solution for (dy)/(dt)+7y=e^{4t},y(0)=10 is y=(e^{4t})/(11)+(109)/(11e^{7t)}