What is the solution for k*dt=(p*m-p^2)^{-1}*dp ?

The solution for k*dt=(p*m-p^2)^{-1}*dp is p=(me^{kmt})/(e^{kmt)-c_{1}}

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kdt=(pm-p^2)^{-1}*dp

k \cdot d t = (p \cdot m - p^{2})^{- 1} \cdot d p

p = \frac{m e ^{km t}}{e ^{km t} - c _{1}}

Solution steps

k \cdot d t = (p \cdot m - p^{2})^{- 1} \cdot d p

Solve exact ODE:

p = \frac{m e ^{km t}}{e ^{km t} - c _{1}}

p = \frac{m e ^{km t}}{e ^{km t} - c _{1}}

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What is the solution for k*dt=(p*m-p^2)^{-1}*dp ?
The solution for k*dt=(p*m-p^2)^{-1}*dp is p=(me^{kmt})/(e^{kmt)-c_{1}}