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Popular >

(dy)/(dx)=-(xy)2

Solution

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

Solution

y = e^{- x^{2} + c_{1}}

Solution steps

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

Solve separable ODE:

y = e^{- x^{2} + c_{1}}

y = e^{- x^{2} + c_{1}}

Popular Examples

y^'=(x+1)/(e^{2y)}

y^{^{'}} = \frac{x + 1}{e ^{2 y}}

5xcos(5y)dy-sin(5y)dx=0

5 x cos (5 y) d y - sin (5 y) d x = 0

xydx+sqrt(1+x^2)dy=0

x y d x + 1 + x^{2} d y = 0

y^'+ycos(x)=3cos(x)

y^{^{'}} + y cos (x) = 3 cos (x)

(dy)/(dx)+(e^{y^2})/(x^2y)=0,y(1)=0

\frac{d y}{d x} + \frac{e ^{y^{2}}}{x ^{2} y} = 0, y (1) = 0

Frequently Asked Questions (FAQ)

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