What is the solution for (dy)/(dt)=0.12-(6y)/(50-2t) ?

The solution for (dy)/(dt)=0.12-(6y)/(50-2t) is y=-0.06(t-25)+c_{1}(15625-1875t+75t^2-t^3)

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(dy)/(dt)=0.12-(6y)/(50-2t)

\frac{d y}{d t} = 0.12 - \frac{6 y}{50 - 2 t}

y = - 0.06 (t - 25) + c_{1} (15625 - 1875 t + 75 t^{2} - t^{3})

Solution steps

\frac{d y}{d t} = 0.12 - \frac{6 y}{50 - 2 t}

Solve linear ODE:

y = - 0.06 (t - 25) + c_{1} (15625 - 1875 t + 75 t^{2} - t^{3})

y = - 0.06 (t - 25) + c_{1} (15625 - 1875 t + 75 t^{2} - t^{3})

\int x sin (x + 1) d x

\int 3 tan^{2} (x) d x

\frac{d y}{d x} = \frac{( y ^{2} - y )}{x}

\frac{\partial}{\partial x} (x e^{x} + 2 e^{x} y)

e^{x} x^{7} + 14 e^{x} x^{6} + 42 e^{x} x^{5}

What is the solution for (dy)/(dt)=0.12-(6y)/(50-2t) ?
The solution for (dy)/(dt)=0.12-(6y)/(50-2t) is y=-0.06(t-25)+c_{1}(15625-1875t+75t^2-t^3)