What is the solution for x^{(-2)}y^{(-5)}dx+x^{(-3)}y^{(-4)}dy=0 ?

The solution for x^{(-2)}y^{(-5)}dx+x^{(-3)}y^{(-4)}dy=0 is y=sqrt(-x^2+c_{1)},y=-sqrt(-x^2+c_{1)}

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x^{(-2)}y^{(-5)}dx+x^{(-3)}y^{(-4)}dy=0

x^{(- 2)} y^{(- 5)} d x + x^{(- 3)} y^{(- 4)} d y = 0

y = - x^{2} + c_{1}, y = - - x^{2} + c_{1}

Solution steps

x^{(- 2)} y^{(- 5)} d x + x^{(- 3)} y^{(- 4)} d y = 0

Solve separable ODE:

y = - x^{2} + c_{1}, y = - - x^{2} + c_{1}

y = - x^{2} + c_{1}, y = - - x^{2} + c_{1}

y^{^{'}} + x - x^{2} \cdot y = x - x^{2}

y^{^{'}} x + 4 y = 1

\frac{d y}{d x} = 6 x^{3} y, y > 0

\frac{d y}{d t} = \frac{9 t ^{2}}{5 y}

(x - 4) (x + 4) y^{^{'}} - x y^{2} = 0

What is the solution for x^{(-2)}y^{(-5)}dx+x^{(-3)}y^{(-4)}dy=0 ?
The solution for x^{(-2)}y^{(-5)}dx+x^{(-3)}y^{(-4)}dy=0 is y=sqrt(-x^2+c_{1)},y=-sqrt(-x^2+c_{1)}