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Popular Calculus >

(dy)/(dx)=e^y

Solution

\frac{d y}{d x} = e^{y}

Solution

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

Solution steps

\frac{d y}{d x} = e^{y}

Solve separable ODE:

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

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

Graph

Popular Examples

derivative of e^{2x}-e^x

\frac{d}{d x} (e^{2 x} - e^{x})

f(x)=sqrt(4-2x)-2

f (x) = 4 - 2 x - 2

(\partial)/(\partial x)((3xy+1)e^{-xy})

\frac{\partial}{\partial x} ((3 x y + 1) e^{- x y})

tangent of 4x^2-15 tangent of

4 x^{2} - 15

integral of ((4x+10))/(x^2+2x+5)

\int \frac{( 4 x + 10 )}{x ^{2} + 2 x + 5} d x

Frequently Asked Questions (FAQ)

What is the solution for (dy)/(dx)=e^y ?
The solution for (dy)/(dx)=e^y is y=-ln(-x-c_{1})