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Popular >

P^'=kP

Solution

P^{^{'}} = k P

Solution

P (t) = e^{k t + c_{1}}

Solution steps

P^{'} (t) = k P (t)

Solve separable ODE:

P (t) = e^{k t + c_{1}}

P (t) = e^{k t + c_{1}}

Popular Examples

derivative of 9t derivative of

9 t

derivative of 16x^{3/2}

\frac{d}{d x} (16 x^{\frac{3}{2}})

derivative of 2x^{3/4}+4x^{-1/4}

\frac{d}{d x} (2 x^{\frac{3}{4}} + 4 x^{- \frac{1}{4}})

tangent of (3x)/(x^2-6)(3.3)tangent of

\frac{3 x}{x ^{2} - 6} (3.3)

integral of 1/(2-x)

\int \frac{1}{2 - x} d x

Frequently Asked Questions (FAQ)

What is the solution for P^'=kP ?
The solution for P^'=kP is P(t)=e^{kt+c_{1}}