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

Lösung

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

y = e^{- \frac{x ^{3}}{3} + 2 x + c_{1}} + 1

Schritte zur Lösung

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

Solve separable ODE:

y = e^{- \frac{x ^{3}}{3} + 2 x + c_{1}} + 1

y = e^{- \frac{x ^{3}}{3} + 2 x + c_{1}} + 1

y^{^{'}} + 9 y^{3} = 0, y (0) = y^{0}

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

+ y^{^{'}} + y = 0

(x y + x) d x + (y x + y) d y = 0

(e^{2 x} + 1) \frac{d y}{d x} = y