What is the solution for (dy}{dx}=\frac{y+2sqrt(xy))/x ?

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

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(dy}{dx}=\frac{y+2sqrt(xy))/x

\frac{d y}{d x} = \frac{y + 2 x y}{x}

y = x ln^{2} (x) + 2 c_{1} x ln (x) + c_{1}^{2} x

Solution steps

\frac{d y}{d x} = \frac{y + 2 x y}{x}

Solve Bernoulli ODE:

y = x ln^{2} (x) + 2 c_{1} x ln (x) + c_{1}^{2} x

y = x ln^{2} (x) + 2 c_{1} x ln (x) + c_{1}^{2} x

f (x) = r^{2} - 10 x^{2}

e^{- 2 x}, x \geq 3

\int \frac{5}{21 x ^{2} - 2 x - 8} d x

x^{2} + 3 x - 1

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

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