What is the solution for (dy}{dx}=\frac{3x)/y ?

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

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(dy}{dx}=\frac{3x)/y

\frac{d y}{d x} = \frac{3 x}{y}

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

Solution steps

\frac{d y}{d x} = \frac{3 x}{y}

Solve separable ODE:

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

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

\frac{d}{d x} (sin (x) \cdot x^{2})

x \to 2 lim (cos (\frac{π}{2} x))

\int \frac{1}{x + x ^{3}} d x

\int 3 (2 x - 1) (ln (x - 2)) d x

\frac{d}{d x} ((3 x + 1)^{- 1})

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