What is the solution for (dy}{dx}=\frac{2x+5y)/x ?

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

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(dy}{dx}=\frac{2x+5y)/x

\frac{d y}{d x} = \frac{2 x + 5 y}{x}

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

Solution steps

\frac{d y}{d x} = \frac{2 x + 5 y}{x}

Solve linear ODE:

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

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

\frac{d}{d x} (\frac{6}{( x + 1 ) ^{4}})

\frac{d}{d x} (\frac{x ^{2}}{x + 1})

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

x \to - 1 lim (\frac{4 x - 5}{3 - x})

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