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Popular >

(dy)/(dx)=8xy^2

Solution

\frac{d y}{d x} = 8 x y^{2}

Solution

y = - \frac{1}{4 x ^{2} + c _{1}}

Solution steps

\frac{d y}{d x} = 8 x y^{2}

Solve separable ODE:

y = - \frac{1}{4 x ^{2} + c _{1}}

y = - \frac{1}{4 x ^{2} + c _{1}}

Popular Examples

(dx)/(dt)+cos(t)x=cos(t)

\frac{d x}{d t} + cos (t) x = cos (t)

5sqrt(xy)(dy)/(dx)=4,y>0

5 x y \frac{d y}{d x} = 4, y > 0

(dv)/(dt)=sqrt(2/9 v)

\frac{d v}{d t} = \frac{2}{9} v

(dy)/(dx)=4cos(x)sec(y)

\frac{d y}{d x} = 4 cos (x) sec (y)

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

Frequently Asked Questions (FAQ)

What is the solution for (dy)/(dx)=8xy^2 ?
The solution for (dy)/(dx)=8xy^2 is y=-1/(4x^2+c_{1)}