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Popular >

y^'=8xy^2

Solution

y^{^{'}} = 8 x y^{2}

Solution

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

Solution steps

y^{'} (x) = 8 x y^{2}

Solve separable ODE:

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

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

Graph

Popular Examples

y^{^{'}} = 8 x y^{3}

(dy)/(dx)=sqrt(2y)

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

(dy)/(dx)=(xsin(x))/(y^2),y(0)=-9

\frac{d y}{d x} = \frac{x sin ( x )}{y ^{2}}, y (0) = - 9

(dy)/(dx)50x^{1/3}y^{2/3}=600

\frac{d y}{d x} 50 x^{\frac{1}{3}} y^{\frac{2}{3}} = 600

x^{2} y^{^{'}} + x y = y

Frequently Asked Questions (FAQ)

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