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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x \to 1 lim (\frac{1}{( x - 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