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

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

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(dy)/(dt)= t/y

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

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

Solution steps

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

Solve separable ODE:

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

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

\int \frac{1}{x + x ^{\frac{1}{3}}} d x

\frac{d}{d x} (arctan (\frac{1 + x}{1 - x}))

f (x) = x^{3}, (- 2, - 8)

\int \frac{( 9 sin ( x ) + 4 sec ( x ) )}{tan ( x )} d x

\frac{2}{x}

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