What is the solution for (dy)/(dx)=(sqrt(x))/(7y) ?

The solution for (dy)/(dx)=(sqrt(x))/(7y) is y=sqrt(4/21 x^{3/2)+c_{1}},y=-sqrt(4/21 x^{3/2)+c_{1}}

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(dy)/(dx)=(sqrt(x))/(7y)

\frac{d y}{d x} = \frac{x}{7 y}

y = \frac{4}{21} x^{\frac{3}{2}} + c_{1}, y = - \frac{4}{21} x^{\frac{3}{2}} + c_{1}

Solution steps

\frac{d y}{d x} = \frac{x}{7 y}

Solve separable ODE:

y = \frac{4}{21} x^{\frac{3}{2}} + c_{1}, y = - \frac{4}{21} x^{\frac{3}{2}} + c_{1}

y = \frac{4}{21} x^{\frac{3}{2}} + c_{1}, y = - \frac{4}{21} x^{\frac{3}{2}} + c_{1}

20 x - 50, 2 x^{2}, x = 0

\frac{d v}{d t} = 4.9 - \frac{100}{3} v

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y^{^{''}} + 2 y^{^{'}} + y = 5 sin (t)

\int_{1}^{27} \frac{4 x ^{\frac{2}{3}} + 1}{4 x ^{\frac{1}{3}}} d x

What is the solution for (dy)/(dx)=(sqrt(x))/(7y) ?
The solution for (dy)/(dx)=(sqrt(x))/(7y) is y=sqrt(4/21 x^{3/2)+c_{1}},y=-sqrt(4/21 x^{3/2)+c_{1}}