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Popular Calculus >

x^'=e^x

Solution

x^{^{'}} = e^{x}

Solution

x = - ln (- t - c_{1})

Solution steps

x^{'} (t) = e^{x}

Solve separable ODE:

x = - ln (- t - c_{1})

x = - ln (- t - c_{1})

Graph

Popular Examples

integral of 12x^2

\int 12 x^{2} d x

integral of-8tan^2(x)

\int - 8 tan^{2} (x) d x

derivative of-6sin(pi/(12x)+18)

\frac{d}{d x} (- 6 sin (\frac{π}{12} x) + 18)

integral from 0 to pi/2 of cos^5(y)

\int_{0}^{\frac{π}{2}} cos^{5} (y) d y

integral of 8*sin^4(x)

\int 8 \cdot sin^{4} (x) d x

Frequently Asked Questions (FAQ)

What is the solution for x^'=e^x ?
The solution for x^'=e^x is x=-ln(-t-c_{1})