What is the solution for (dy)/(dt)=(y+1)/(t+1) ?

The solution for (dy)/(dt)=(y+1)/(t+1) is y=e^{c_{1}}t+e^{c_{1}}-1

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(dy)/(dt)=(y+1)/(t+1)

\frac{d y}{d t} = \frac{y + 1}{t + 1}

y = e^{c_{1}} t + e^{c_{1}} - 1

Solution steps

\frac{d y}{d t} = \frac{y + 1}{t + 1}

Solve separable ODE:

y = e^{c_{1}} t + e^{c_{1}} - 1

y = e^{c_{1}} t + e^{c_{1}} - 1

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What is the solution for (dy)/(dt)=(y+1)/(t+1) ?
The solution for (dy)/(dt)=(y+1)/(t+1) is y=e^{c_{1}}t+e^{c_{1}}-1