What is the solution for (x^2+C)dx+xydy=0 ?

The solution for (x^2+C)dx+xydy=0 is y=sqrt(-x^2-2Cln(x)+c_{1)},y=-sqrt(-x^2-2Cln(x)+c_{1)}

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(x^2+C)dx+xydy=0

(x^{2} + C) d x + x y d y = 0

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

Solution steps

(x^{2} + C) d x + x y d y = 0

Solve separable ODE:

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

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

What is the solution for (x^2+C)dx+xydy=0 ?
The solution for (x^2+C)dx+xydy=0 is y=sqrt(-x^2-2Cln(x)+c_{1)},y=-sqrt(-x^2-2Cln(x)+c_{1)}