What is the solution for (dy}{dx}=\frac{9x)/y ?

The solution for (dy}{dx}=\frac{9x)/y is y=sqrt(9x^2+c_{1)},y=-sqrt(9x^2+c_{1)}

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(dy}{dx}=\frac{9x)/y

\frac{d y}{d x} = \frac{9 x}{y}

y = 9 x^{2} + c_{1}, y = - 9 x^{2} + c_{1}

Solution steps

\frac{d y}{d x} = \frac{9 x}{y}

Solve separable ODE:

y = 9 x^{2} + c_{1}, y = - 9 x^{2} + c_{1}

y = 9 x^{2} + c_{1}, y = - 9 x^{2} + c_{1}

\int (\frac{1}{x \cdot ln ( x )}) d x

\int \frac{1}{x ^{2} - 4 x + 5} d x

x^{2} y^{^{'}} + 2 x y = 15 cos^{2} (x)

\int_{- 1}^{2} x^{2} - 2 x d x

f (x) = 4 - x

What is the solution for (dy}{dx}=\frac{9x)/y ?
The solution for (dy}{dx}=\frac{9x)/y is y=sqrt(9x^2+c_{1)},y=-sqrt(9x^2+c_{1)}