y(y^2-1)^{1/2}dx-(1-x^2)^{1/2}dy=0

Lösung

y (y^{2} - 1)^{\frac{1}{2}} d x - (1 - x^{2})^{\frac{1}{2}} d y = 0

y = sec (arcsin (x) + c_{1})

Schritte zur Lösung

y (y^{2} - 1)^{\frac{1}{2}} d x - (1 - x^{2})^{\frac{1}{2}} d y = 0

Solve separable ODE:

y = sec (arcsin (x) + c_{1})

y = sec (arcsin (x) + c_{1})

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

y^{^{'}} = 6 x^{2} y

(2 x y + 4 x) \frac{d y}{d x} = y^{2} - 4

y^{^{'}} = 7 x^{2} y

y^{^{'}} + 2 y = 6