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Popular >

y^'=6(xy)^2

Solution

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

Solution

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

Solution steps

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

Solve separable ODE:

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

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

Popular Examples

(dy)/(dx)=e^{x+y},y(0)=0

\frac{d y}{d x} = e^{x + y}, y (0) = 0

x(\H(x)x)^2dx+x^2(\H(x)x)(\H(x)dx+xd\H(x))=0

x (H (x) x)^{2} d x + x^{2} (H (x) x) (H (x) d x + x d H (x)) = 0

(xy^2-x)dx+(2x^2y+8y)dy=0

(x y^{2} - x) d x + (2 x^{2} y + 8 y) d y = 0

derivative of (sin(pix+cos(pi)y)^2)=2

\frac{d}{d x} ((sin (π) x + cos (π) y)^{2}) = 2

y^{^{'}} = e^{- y} - 1

Frequently Asked Questions (FAQ)

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