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Popular >

(dp)/(dx)=k(a-p)

Solution

\frac{d p}{d x} = k (a - p)

Solution

p = - e^{- k x - c_{1}} + a

Solution steps

\frac{d p}{d x} = k (a - p)

Solve separable ODE:

p = - e^{- k x - c_{1}} + a

p = - e^{- k x - c_{1}} + a

Popular Examples

(x^2-x)y^'-(y^2+y)=0

(x^{2} - x) y^{^{'}} - (y^{2} + y) = 0

(dy)/(dx)=yx^3-xy

\frac{d y}{d x} = y x^{3} - x y

y^'=\sqrt[3]{y},y(0)=0

2xy+6x+(x^2-4)(dy)/(dx)=0

2 x y + 6 x + (x^{2} - 4) \frac{d y}{d x} = 0

(dy)/(dx)=(6-x^2)/(2y^3)

\frac{d y}{d x} = \frac{6 - x ^{2}}{2 y ^{3}}

Frequently Asked Questions (FAQ)

What is the solution for (dp)/(dx)=k(a-p) ?
The solution for (dp)/(dx)=k(a-p) is p=-e^{-kx-c_{1}}+a