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Popular Calculus >

(dy)/(dx)=4xe^y

Solution

\frac{d y}{d x} = 4 x e^{y}

Solution

y = - ln (- 2 x^{2} - c_{1})

Solution steps

\frac{d y}{d x} = 4 x e^{y}

Solve separable ODE:

y = - ln (- 2 x^{2} - c_{1})

y = - ln (- 2 x^{2} - c_{1})

Graph

Popular Examples

derivative of (x^3+1(3-2x^3))

\frac{d}{d x} ((x^{3} + 1) (3 - 2 x^{3}))

slope of (3,2),(5,6)

s l o p e (3, 2), (5, 6)

derivative of (x-5xsqrt(x)/(sqrt(x)))

\frac{d}{d x} (\frac{x - 5 x x}{x})

tangent of f(x)=5x-4x^2,\at x=-1

t an g e n t f (x) = 5 x - 4 x^{2}, at x = - 1

integral from 0 to 3 of (2^x)

\int_{0}^{3} (2^{x}) d x

Frequently Asked Questions (FAQ)

What is the solution for (dy)/(dx)=4xe^y ?
The solution for (dy)/(dx)=4xe^y is y=-ln(-2x^2-c_{1})