What is the solution for y^'+xy=6xy^2 ?

The solution for y^'+xy=6xy^2 is y= 1/(6(1-e^{\frac{x^2){2}+c_{1}})}

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y^'+xy=6xy^2

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

y = \frac{1}{6 ( 1 - e ^{\frac{x ^{2}}{2} + c_{1}} )}

Solution steps

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

Solve separable ODE:

y = \frac{1}{6 ( 1 - e ^{\frac{x ^{2}}{2} + c_{1}} )}

y = \frac{1}{6 ( 1 - e ^{\frac{x ^{2}}{2} + c_{1}} )}

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