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Popular >

e^ydx-x^2dy=0

Solution

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

Solution

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

Solution steps

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

Solve separable ODE:

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

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

Popular Examples

(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

(dy)/(dx)=(2x^2)/(y+1)

\frac{d y}{d x} = \frac{2 x ^{2}}{y + 1}

Frequently Asked Questions (FAQ)

What is the solution for e^ydx-x^2dy=0 ?
The solution for e^ydx-x^2dy=0 is y=-ln(1/x-c_{1})