What is the solution for (t/y)dy+(1+ln(y))dt=0 ?

The solution for (t/y)dy+(1+ln(y))dt=0 is y=e^{(c_{1})/t-1}

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(t/y)dy+(1+ln(y))dt=0

(\frac{t}{y}) d y + (1 + ln (y)) d t = 0

y = e^{\frac{c _{1}}{t} - 1}

Solution steps

(\frac{t}{y}) d y + (1 + ln (y)) d t = 0

Solve separable ODE:

y = e^{\frac{c _{1}}{t} - 1}

y = e^{\frac{c _{1}}{t} - 1}

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n = 1 \sum \infty \frac{2}{n \cdot ( n + 1 )}

What is the solution for (t/y)dy+(1+ln(y))dt=0 ?
The solution for (t/y)dy+(1+ln(y))dt=0 is y=e^{(c_{1})/t-1}