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Popular >

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

Solution

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

Solution

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

Solution steps

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

Solve separable ODE:

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

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

Graph

Popular Examples

integral of (32x^2)/(x^4-34x^2+225)

\int \frac{32 x ^{2}}{x ^{4} - 34 x ^{2} + 225} d x

(d^2)/(dx^2)(x^8e^x)

\frac{d ^{2}}{d x ^{2}} (x^{8} e^{x})

integral from 0 to 1 of 6ln(x)

\int_{0}^{1} 6 ln (x) d x

laplacetransform 3t^2-5e^{3t}laplace transform

3 t^{2} - 5 e^{3 t}

limit as x approaches 2a of (x^2-2ax+a^2)/(x^3-a^3)

x \to 2 a lim (\frac{x ^{2} - 2 a x + a ^{2}}{x ^{3} - a ^{3}})

Frequently Asked Questions (FAQ)

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