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Popular >

(dy)/(dx)=-y^2

Solution

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

Solution

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

Solution steps

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

Solve separable ODE:

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

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

Popular Examples

limit as x approaches-2 of x^3-2x^2+4x+8

x \to - 2 lim (x^{3} - 2 x^{2} + 4 x + 8)

limit as x approaches 0+of 5/(2x^4)

x \to 0 + lim (\frac{5}{2 x ^{4}})

derivative of (2x/((1-x^2)^2))

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

integral from 2 to 5 of 3x^2-4x

\int_{2}^{5} 3 x^{2} - 4 x d x

(\partial)/(\partial y)(54-2/3 x^2-4y^2)

\frac{\partial}{\partial y} (54 - \frac{2}{3} x^{2} - 4 y^{2})

Frequently Asked Questions (FAQ)

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