x^2+y^2(dy)/(dx)=3

Lösung

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

y = 3 9 x - x^{3} + c_{1}

Schritte zur Lösung

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

Solve separable ODE:

y = 3 9 x - x^{3} + c_{1}

y = 3 9 x - x^{3} + c_{1}

(1 - x) y^{^{'}} = y

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

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

(1 + x) y^{^{'}} = e^{- y} - 1

(- 3 (2 x - u) + 6 x + 2) d x - (u - 1) (2 d x - d u) = 0