erweitern (x^2-1)y''(x)+xy'(x)-y

Lösung

erweitern

(x^{2} - 1) y^{''} (x) + x y^{'} (x) - y

x^{2} y'' (x) - y'' (x) + x y' (x) - y

Schritte zur Lösung

(x^{2} - 1) y^{''} (x) + x y^{'} (x) - y

Multipliziere aus

y^{''} (x) (x^{2} - 1) : x^{2} y^{''} (x) - y^{''} (x)

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

e x p an d 5 (1 + Δ t)^{2}

s im pl i f y (c - 1) (c + 2) (c + 6) (c - 6)

e x p an d \frac{7 ( 12 e + 19 e ^{\frac{19}{12}} )}{288}

e x p an d \frac{( - x ^{4} - 4 x ^{2} + 3 x - 6 )}{x ^{4} ( x - 2 )}

e x p an d (6 - a + 3) (6 + a - 3)