erweitern (1-x^2)(d^2y)/(dx^2)-x(dy)/(dx)

Lösung

erweitern

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

\frac{d ^{2} y}{d x ^{2}} - x^{2} \frac{d ^{2} y}{d x ^{2}} - x \frac{d y}{d x}

Schritte zur Lösung

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

Multipliziere aus

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

= \frac{d ^{2} y}{d x ^{2}} - x^{2} \frac{d ^{2} y}{d x ^{2}} - x \frac{d y}{d x}

e x p an d (4 sin (x) - 4 cos (x))^{2}

e x p an d (e^{y} + 1)^{2}

e x p an d \frac{6 ( x + y ) + 5 - 6 x + 5}{y}

s im pl i f y 3 (x + 1) (x - \frac{1}{2}) (x - 1)

e x p an d (32 + 1) (2 - 3)