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Popular Calculus >

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

Solution

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

Solution

y = - \frac{1}{x ^{2} + c _{1}}

Solution steps

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

Solve separable ODE:

y = - \frac{1}{x ^{2} + c _{1}}

y = - \frac{1}{x ^{2} + c _{1}}

Graph

Popular Examples

(\partial)/(\partial x)(ln(2x+y))

\frac{\partial}{\partial x} (ln (2 x + y))

derivative of \sqrt[5]{x}

d er i v a t i v e 5 x

inverse oflaplace 1/x

in v erse l a pl a ce \frac{1}{x}

tangent of x^2-18x+1

t an g e n t x^{2} - 18 x + 1

inverse oflaplace (6s^2+8)/(s(s^2+4))

in v erse l a pl a ce \frac{6 s ^{2} + 8}{s ( s ^{2} + 4 )}

Frequently Asked Questions (FAQ)

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