What is the solution for (dy}{dx}=\frac{15x)/y ?

The solution for (dy}{dx}=\frac{15x)/y is y=sqrt(15x^2+c_{1)},y=-sqrt(15x^2+c_{1)}

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(dy}{dx}=\frac{15x)/y

\frac{d y}{d x} = \frac{15 x}{y}

y = 15 x^{2} + c_{1}, y = - 15 x^{2} + c_{1}

Solution steps

\frac{d y}{d x} = \frac{15 x}{y}

Solve separable ODE:

y = 15 x^{2} + c_{1}, y = - 15 x^{2} + c_{1}

y = 15 x^{2} + c_{1}, y = - 15 x^{2} + c_{1}

\frac{d}{d y} (e^{x e^{y}})

x, x - 2, y = 0

x \to 0 lim (\frac{sin ( k x )}{x})

\int \frac{3 r}{1 - r ^{2}} d r

What is the solution for (dy}{dx}=\frac{15x)/y ?
The solution for (dy}{dx}=\frac{15x)/y is y=sqrt(15x^2+c_{1)},y=-sqrt(15x^2+c_{1)}