What is the solution for (dy)/(dt)= t/(y-2) ?

The solution for (dy)/(dt)= t/(y-2) is y=2+sqrt(t^2+c_{1)+4},y=2-sqrt(t^2+c_{1)+4}

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(dy)/(dt)= t/(y-2)

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

y = 2 + t^{2} + c_{1} + 4, y = 2 - t^{2} + c_{1} + 4

Solution steps

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

Solve separable ODE:

y = 2 + t^{2} + c_{1} + 4, y = 2 - t^{2} + c_{1} + 4

y = 2 + t^{2} + c_{1} + 4, y = 2 - t^{2} + c_{1} + 4

\int cot (x) csc (x) d x

\frac{d}{d x} (x - 8)

\int 2 + x d x

y = - x^{3}, (- 1, 1)

y = \frac{x + 3}{x ^{3} + x - 1}

What is the solution for (dy)/(dt)= t/(y-2) ?
The solution for (dy)/(dt)= t/(y-2) is y=2+sqrt(t^2+c_{1)+4},y=2-sqrt(t^2+c_{1)+4}