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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

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derivative of 9(x^6-2)^5 derivative of

9 (x^{6} - 2)^{5}

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

derivative of f(x)=3x^2+6x derivative of

f (x) = 3 x^{2} + 6 x

limit as x approaches-2 of 3-5x^2

x \to - 2 lim (3 - 5 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}}