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Popular >

(dy)/(dx)=6xy^2

Solution

\frac{d y}{d x} = 6 x y^{2}

Solution

y = - \frac{1}{3 x ^{2} + c _{1}}

Solution steps

\frac{d y}{d x} = 6 x y^{2}

Solve separable ODE:

y = - \frac{1}{3 x ^{2} + c _{1}}

y = - \frac{1}{3 x ^{2} + c _{1}}

Graph

Popular Examples

(dy)/(dx)=(8e^x)/(e^y)

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

(dy)/(dt)=ysqrt(t-1),y(1)=4

\frac{d y}{d t} = y t - 1, y (1) = 4

6y^'-3y-88=5y^',y(3)=300

6 y^{^{'}} - 3 y - 88 = 5 y^{^{'}}, y (3) = 300

y^'=(xcos^2(y))/(e^{2x)}

y^{^{'}} = \frac{x cos ^{2} ( y )}{e ^{2 x}}

\frac{d y}{d x} = 3 y - 3

Frequently Asked Questions (FAQ)

What is the solution for (dy)/(dx)=6xy^2 ?
The solution for (dy)/(dx)=6xy^2 is y=-1/(3x^2+c_{1)}