What is the solution for (dy)/(dx)=xsqrt(y),y\ne 0 ?

The solution for (dy)/(dx)=xsqrt(y),y\ne 0 is y=(x^4}{16}+\frac{c_{1}x^2)/4+(c_{1}^2)/4

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(dy)/(dx)=xsqrt(y),y\ne 0

\frac{d y}{d x} = x y, y \neq = 0

y = \frac{x ^{4}}{16} + \frac{c _{1} x ^{2}}{4} + \frac{c _{1}^{2}}{4}

Solution steps

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

Solve separable ODE:

y = \frac{x ^{4}}{16} + \frac{c _{1} x ^{2}}{4} + \frac{c _{1}^{2}}{4}

y = \frac{x ^{4}}{16} + \frac{c _{1} x ^{2}}{4} + \frac{c _{1}^{2}}{4}

y^{^{'}} = \frac{20 - 0.06 y}{0.02}

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

y^{^{'}} = (x^{4} + 7) (cos (y))^{2}

\frac{d y}{d x} = - \frac{2}{2} x^{8} y^{5}

y^{^{'}} = r \cdot y \cdot (1 - \frac{y}{k})

What is the solution for (dy)/(dx)=xsqrt(y),y\ne 0 ?
The solution for (dy)/(dx)=xsqrt(y),y\ne 0 is y=(x^4}{16}+\frac{c_{1}x^2)/4+(c_{1}^2)/4