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Popular >

(dP)/(dt)=a*P

Solution

\frac{d P}{d t} = a \cdot P

Solution

P = e^{a t + c_{1}}

Solution steps

\frac{d P}{d t} = a \cdot P

Solve separable ODE:

P = e^{a t + c_{1}}

P = e^{a t + c_{1}}

Graph

Popular Examples

x^'=x^2(t^2-1)(t^2-9),x(0)=1

x^{^{'}} = x^{2} (t^{2} - 1) (t^{2} - 9), x (0) = 1

(dy)/(dx)+y=y^{-2}

\frac{d y}{d x} + y = y^{- 2}

2dy-(y-7)^2dx=0

2 d y - (y - 7)^{2} d x = 0

derivative of y^3=50x

\frac{d}{d x} (y^{3}) = 50 x

(dy)/(dx)= 1/(y-2)

\frac{d y}{d x} = \frac{1}{y - 2}

Frequently Asked Questions (FAQ)

What is the solution for (dP)/(dt)=a*P ?
The solution for (dP)/(dt)=a*P is P=e^{at+c_{1}}