What is the solution for (dP)/(dt)=kP^{1.01} ?

The solution for (dP)/(dt)=kP^{1.01} is P=(100^{100})/((kt+c_{1))^{100}}

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(dP)/(dt)=kP^{1.01}

\frac{d P}{d t} = k P^{1.01}

P = \frac{10 0 ^{100}}{( k t + c _{1} ) ^{100}}

Solution steps

\frac{d P}{d t} = k P^{1.01}

Solve separable ODE:

P = \frac{10 0 ^{100}}{( k t + c _{1} ) ^{100}}

P = \frac{10 0 ^{100}}{( k t + c _{1} ) ^{100}}

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What is the solution for (dP)/(dt)=kP^{1.01} ?
The solution for (dP)/(dt)=kP^{1.01} is P=(100^{100})/((kt+c_{1))^{100}}