What is the solution for (dP)/(dt)=50P-1/10 P ?

The solution for (dP)/(dt)=50P-1/10 P is P=e^{(499t+c_{1})/(10)}

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(dP)/(dt)=50P-1/10 P

\frac{d P}{d t} = 50 P - \frac{1}{10} P

P = e^{\frac{499 t + c _{1}}{10}}

Solution steps

\frac{d P}{d t} = 50 P - \frac{1}{10} P

Solve separable ODE:

P = e^{\frac{499 t + c _{1}}{10}}

P = e^{\frac{499 t + c _{1}}{10}}

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What is the solution for (dP)/(dt)=50P-1/10 P ?
The solution for (dP)/(dt)=50P-1/10 P is P=e^{(499t+c_{1})/(10)}