What is the solution for (dx)/(dt)=12-(27x)/(900-15t) ?

The solution for (dx)/(dt)=12-(27x)/(900-15t) is x=15(-t+60)+c_{1}(-t+60)^{9/5}

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(dx)/(dt)=12-(27x)/(900-15t)

\frac{d x}{d t} = 12 - \frac{27 x}{900 - 15 t}

x = 15 (- t + 60) + c_{1} (- t + 60)^{\frac{9}{5}}

Solution steps

\frac{d x}{d t} = 12 - \frac{27 x}{900 - 15 t}

Solve linear ODE:

x = 15 (- t + 60) + c_{1} (- t + 60)^{\frac{9}{5}}

x = 15 (- t + 60) + c_{1} (- t + 60)^{\frac{9}{5}}

What is the solution for (dx)/(dt)=12-(27x)/(900-15t) ?
The solution for (dx)/(dt)=12-(27x)/(900-15t) is x=15(-t+60)+c_{1}(-t+60)^{9/5}