What is the solution for x(dy)/(dx)+2y=6x^2sqrt(y) ?

The solution for x(dy)/(dx)+2y=6x^2sqrt(y) is y=x^4+2c_{1}x+(c_{1}^2)/(x^2)

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x(dy)/(dx)+2y=6x^2sqrt(y)

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

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

Solution steps

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

Solve Bernoulli ODE:

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

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

\frac{d}{d x} (a cos^{3} (x))

y = x^{2} ln (3 x)

y^{^{'}} = \frac{( 1 - y ) ^{2}}{x + 1}, y (0) = 5

\frac{d}{d x} (ln (ln (sec (x))))

n = 1 \sum \infty 1 - \frac{7}{4 ^{n}}

What is the solution for x(dy)/(dx)+2y=6x^2sqrt(y) ?
The solution for x(dy)/(dx)+2y=6x^2sqrt(y) is y=x^4+2c_{1}x+(c_{1}^2)/(x^2)