What is the solution for (dy)/(dx)=(3y^2+10x^2)/(xy) ?

The solution for (dy)/(dx)=(3y^2+10x^2)/(xy) is y=xsqrt(-5+c_{1)x^4},y=-xsqrt(-5+c_{1)x^4}

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(dy)/(dx)=(3y^2+10x^2)/(xy)

\frac{d y}{d x} = \frac{3 y ^{2} + 10 x ^{2}}{x y}

y = x - 5 + c_{1} x^{4}, y = - x - 5 + c_{1} x^{4}

Solution steps

\frac{d y}{d x} = \frac{3 y ^{2} + 10 x ^{2}}{x y}

Solve Bernoulli ODE:

y = x - 5 + c_{1} x^{4}, y = - x - 5 + c_{1} x^{4}

y = x - 5 + c_{1} x^{4}, y = - x - 5 + c_{1} x^{4}

\frac{d}{d x} (7 x - 5)

\int_{0}^{4} x^{\frac{3}{2}} d x

\int_{1}^{5} \frac{5}{x} - \frac{3}{x ^{2}} d x

x \to - 2 lim (- x^{2} + 8 x - 7)

\int_{c}^{x} g (x) d x

What is the solution for (dy)/(dx)=(3y^2+10x^2)/(xy) ?
The solution for (dy)/(dx)=(3y^2+10x^2)/(xy) is y=xsqrt(-5+c_{1)x^4},y=-xsqrt(-5+c_{1)x^4}