What is the solution for (x^2-yx^2)dy+(y^2+xy^2)dx=0 ?

The solution for (x^2-yx^2)dy+(y^2+xy^2)dx=0 is y=-1/(\W(-(1){e^{\frac{c_{1}x-1)/x}x})}

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(x^2-yx^2)dy+(y^2+xy^2)dx=0

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

y = - \frac{1}{W ( - \frac{1}{e ^{\frac{c _{1} x - 1}{x}} x} )}

Solution steps

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

Solve separable ODE:

y = - \frac{1}{W ( - \frac{1}{e ^{\frac{c _{1} x - 1}{x}} x} )}

y = - \frac{1}{W ( - \frac{1}{e ^{\frac{c _{1} x - 1}{x}} x} )}

d x + sin (t) x d t - sin (t) d t = 0, x (\frac{π}{2}) = - 1

y^{^{'}} + tan (3 x) y = 0

y^{^{'}} = e^{4 y + 10 x}

e^{(2 x)} y^{2} y^{^{'}} = 1

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

What is the solution for (x^2-yx^2)dy+(y^2+xy^2)dx=0 ?
The solution for (x^2-yx^2)dy+(y^2+xy^2)dx=0 is y=-1/(\W(-(1){e^{\frac{c_{1}x-1)/x}x})}