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})

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)