What is the solution for (dy}{dx}=\frac{5x)/y ?

The solution for (dy}{dx}=\frac{5x)/y is y=sqrt(5x^2+c_{1)},y=-sqrt(5x^2+c_{1)}

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(dy}{dx}=\frac{5x)/y

\frac{d y}{d x} = \frac{5 x}{y}

y = 5 x^{2} + c_{1}, y = - 5 x^{2} + c_{1}

Solution steps

\frac{d y}{d x} = \frac{5 x}{y}

Solve separable ODE:

y = 5 x^{2} + c_{1}, y = - 5 x^{2} + c_{1}

y = 5 x^{2} + c_{1}, y = - 5 x^{2} + c_{1}

\frac{d}{d x} (\frac{x ^{4} - x + 1}{x ^{4} + x + 1})

\int cos (x^{3} - 1) d x

x \to 2 lim (- x^{2} + 4 x + 2)

\int (- 2 sin (2 x) + 2 cos (2 x)) d x

What is the solution for (dy}{dx}=\frac{5x)/y ?
The solution for (dy}{dx}=\frac{5x)/y is y=sqrt(5x^2+c_{1)},y=-sqrt(5x^2+c_{1)}