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Popular Calculus >

y^'=6xy^2

Solution

y^{^{'}} = 6 x y^{2}

Solution

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

Solution steps

y^{'} (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

derivative of x^3(x-5^2)

\frac{d}{d x} (x^{3} (x - 5)^{2})

limit as h approaches infinity of (5h^4-2h^2+3)/(3h^3+2h^2+h)

h \to \infty lim (\frac{5 h ^{4} - 2 h ^{2} + 3}{3 h ^{3} + 2 h ^{2} + h})

integral of (x^2+y^2)^{(-3/2)}

\int (x^{2} + y^{2})^{(- \frac{3}{2})} d y

(dy)/(dx)=2x(1+y)e^{x^2}

\frac{d y}{d x} = 2 x (1 + y) e^{x^{2}}

derivative of y=2x^2+1

d er i v a t i v e y = 2 x^{2} + 1

Frequently Asked Questions (FAQ)

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