What is the solution for x^2(xdy+ydx)=7xdy-7ydx ?

The solution for x^2(xdy+ydx)=7xdy-7ydx is y=(c_{1}x)/(x^2-7)

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x^2(xdy+ydx)=7xdy-7ydx

x^{2} (x d y + y d x) = 7 x d y - 7 y d x

y = \frac{c _{1} x}{x ^{2} - 7}

Solution steps

x^{2} (x d y + y d x) = 7 x d y - 7 y d x

Solve separable ODE:

y = \frac{c _{1} x}{x ^{2} - 7}

y = \frac{c _{1} x}{x ^{2} - 7}

e^{x} y \frac{d y}{d x} = e^{- y} + \frac{e ^{- 2 x}}{e ^{y}}

y^{^{'}} sin (x) = y ln (y), y (\frac{π}{2}) = e

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

y^{^{'}} = e^{y} sin (t)

(1 - y) \frac{d y}{d x} = x^{2}

What is the solution for x^2(xdy+ydx)=7xdy-7ydx ?
The solution for x^2(xdy+ydx)=7xdy-7ydx is y=(c_{1}x)/(x^2-7)