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Popular Calculus >

x^'=x

Solution

x^{^{'}} = x

Solution

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

Solution steps

x^{'} (t) = x

Solve separable ODE:

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

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

Graph

Popular Examples

limit as x approaches 0+of sin(x)ln(x)

x \to 0 + lim (sin (x) ln (x))

derivative of (2x-8/(4x-3))

\frac{d}{d x} (\frac{2 x - 8}{4 x - 3})

derivative of (cos(4x)/x)

\frac{d}{d x} (\frac{cos ( 4 x )}{x})

y^{''}+9y^'=0,y(0)=1

y^{^{''}} + 9 y^{^{'}} = 0, y (0) = 1

derivative of arctan(c/x)

\frac{d}{d x} (arctan (\frac{c}{x}))

Frequently Asked Questions (FAQ)

What is the solution for x^'=x ?
The solution for x^'=x is x=e^{t+c_{1}}