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Popular >

(dy)/(dx)=ky

Solution

\frac{d y}{d x} = k y

Solution

y = e^{k x + c_{1}}

Solution steps

\frac{d y}{d x} = k y (x)

Solve separable ODE:

y = e^{k x + c_{1}}

y = e^{k x + c_{1}}

Graph

Popular Examples

tangent of f(x)=4-3x^2,(-2,-8)tangent of

f (x) = 4 - 3 x^{2}, (- 2, - 8)

integral from-pi to pi of cos^2(7x)

\int_{- π}^{π} cos^{2} (7 x) d x

derivative of e^{20x}

\frac{d}{d x} (e^{20 x})

integral of (e^{5x}+a^{5x})

\int (e^{5 x} + a^{5 x}) d x

derivative of f(x)=(-1)/(x^2)derivative of

f (x) = \frac{- 1}{x ^{2}}

Frequently Asked Questions (FAQ)

What is the solution for (dy)/(dx)=ky ?
The solution for (dy)/(dx)=ky is y=e^{kx+c_{1}}