What is the solution for (dy)/(dt)-1/2 y=ty^{-1} ?

The solution for (dy)/(dt)-1/2 y=ty^{-1} is y=sqrt(-2(t+1)+c_{1)e^t},y=-sqrt(-2(t+1)+c_{1)e^t}

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(dy)/(dt)-1/2 y=ty^{-1}

\frac{d y}{d t} - \frac{1}{2} y = t y^{- 1}

y = - 2 (t + 1) + c_{1} e^{t}, y = - - 2 (t + 1) + c_{1} e^{t}

Solution steps

\frac{d y}{d t} - \frac{1}{2} y = t y^{- 1}

Solve Bernoulli ODE:

y = - 2 (t + 1) + c_{1} e^{t}, y = - - 2 (t + 1) + c_{1} e^{t}

y = - 2 (t + 1) + c_{1} e^{t}, y = - - 2 (t + 1) + c_{1} e^{t}

\int e^{- 0.12 x} d x

\int \frac{1}{z ^{2}} d z

f (x) = - 5 e^{- 5 x + 2}

n = 2 \sum \infty \frac{1}{n ^{\frac{1}{2}}}

\frac{\partial}{\partial x} (x^{5} y^{3})

What is the solution for (dy)/(dt)-1/2 y=ty^{-1} ?
The solution for (dy)/(dt)-1/2 y=ty^{-1} is y=sqrt(-2(t+1)+c_{1)e^t},y=-sqrt(-2(t+1)+c_{1)e^t}