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Popular Calculus >

(dx)/(dt)=kx

Solution

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

Solution

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

Solution steps

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

Solve separable ODE:

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

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

Graph

Popular Examples

derivative of (x^3+4x^7)

\frac{d}{d x} ((x^{3} + 4 x)^{7})

limit as x approaches 0 of 3x^x

x \to 0 lim (3 x^{x})

integral of ((x-1))/x

\int \frac{( x - 1 )}{x} d x

domain of f(x)=(3x^2)^{2x}(x^2+2x)^2

d o main f (x) = (3 x^{2})^{2 x} (x^{2} + 2 x)^{2}

y^{''}-6y^'+2y=0,y(0)=0,y^'(0)=9

y^{^{''}} - 6 y^{^{'}} + 2 y = 0, y (0) = 0, y^{^{'}} (0) = 9

Frequently Asked Questions (FAQ)

What is the solution for (dx)/(dt)=kx ?
The solution for (dx)/(dt)=kx is x=e^{kt+c_{1}}