What is the solution for (dy)/(dx)y=sqrt(x) ?

The solution for (dy)/(dx)y=sqrt(x) is y=sqrt(4/3 x^{3/2)+c_{1}},y=-sqrt(4/3 x^{3/2)+c_{1}}

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(dy)/(dx)y=sqrt(x)

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

y = \frac{4}{3} x^{\frac{3}{2}} + c_{1}, y = - \frac{4}{3} x^{\frac{3}{2}} + c_{1}

Solution steps

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

Solve separable ODE:

y = \frac{4}{3} x^{\frac{3}{2}} + c_{1}, y = - \frac{4}{3} x^{\frac{3}{2}} + c_{1}

y = \frac{4}{3} x^{\frac{3}{2}} + c_{1}, y = - \frac{4}{3} x^{\frac{3}{2}} + c_{1}

- x^{2} + 3 x + 7

\frac{d}{d y} (\frac{y}{z})

\int \frac{1}{x ^{2} + 4 x + 68} d x

\frac{\partial}{\partial x} (arctan (\frac{x}{y}))

\frac{d}{d x} (4 x^{3} - 12 x)

What is the solution for (dy)/(dx)y=sqrt(x) ?
The solution for (dy)/(dx)y=sqrt(x) is y=sqrt(4/3 x^{3/2)+c_{1}},y=-sqrt(4/3 x^{3/2)+c_{1}}