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Popular >

e^x(dy)/(dx)=y^2

Solution

e^{x} \frac{d y}{d x} = y^{2}

Solution

y = - \frac{e ^{x}}{- 1 + c _{1} e ^{x}}

Solution steps

e^{x} \frac{d y}{d x} = y^{2}

Solve separable ODE:

y = - \frac{e ^{x}}{- 1 + c _{1} e ^{x}}

y = - \frac{e ^{x}}{- 1 + c _{1} e ^{x}}

Popular Examples

e^{y} d x - x^{2} d y = 0

(dy)/(dx)=(2x)/(-8y-8),y(0)=-8

\frac{d y}{d x} = \frac{2 x}{- 8 y - 8}, y (0) = - 8

f^{^{'}} (x) = 9 f (x)

(dy)/(dx)y=(2x+5)(x^3-x^8)(x^{-7})

\frac{d y}{d x} y = (2 x + 5) (x^{3} - x^{8}) (x^{- 7})

3y^4-1+12xy^3y^'=0

3 y^{4} - 1 + 12 x y^{3} y^{^{'}} = 0

Frequently Asked Questions (FAQ)

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