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Popular >

(dy)/(dx)+ye^x=0

Solution

\frac{d y}{d x} + y e^{x} = 0

Solution

y = e^{- e^{x} + c_{1}}

Solution steps

\frac{d y}{d x} + y e^{x} = 0

Solve separable ODE:

y = e^{- e^{x} + c_{1}}

y = e^{- e^{x} + c_{1}}

Graph

Popular Examples

y^{^{'}} - \frac{y}{3 x} = 0

(dx)/(dt)=-(11x)/((1000-t))

\frac{d x}{d t} = - \frac{11 x}{( 1000 - t )}

(dy)/(dx)= 3/((x^2y-8y))

\frac{d y}{d x} = \frac{3}{( x ^{2} y - 8 y )}

(x^2-9)*y^'+x*y=0

(x^{2} - 9) \cdot y^{^{'}} + x \cdot y = 0

y^'=2*sqrt(y+1)*cos(x)

y^{^{'}} = 2 \cdot y + 1 \cdot cos (x)

Frequently Asked Questions (FAQ)

What is the solution for (dy)/(dx)+ye^x=0 ?
The solution for (dy)/(dx)+ye^x=0 is y=e^{-e^x+c_{1}}