de

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Beliebt Rechnen >

(1-t^2)y^{''}-2ty^'+2y=0

Lösung

(1 - t^{2}) y^{^{''}} - 2 t y^{^{'}} + 2 y = 0

Lösung

y = c_{1} - \frac{1}{2} c_{1} t ln (t + 1) + \frac{1}{2} c_{1} t ln (t - 1) + c_{2} t

Schritte zur Lösung

(1 - t^{2}) y^{''} (t) - 2 t y^{'} (t) + 2 y = 0

Solve using substitution:

y = c_{1} - \frac{1}{2} c_{1} t ln (t + 1) + \frac{1}{2} c_{1} t ln (t - 1) + c_{2} t

y = c_{1} - \frac{1}{2} c_{1} t ln (t + 1) + \frac{1}{2} c_{1} t ln (t - 1) + c_{2} t

Graph

Beliebte Beispiele

derivative of (x+ae^{2x})

\frac{d}{d x} ((x + a) e^{2 x})

integral from 0 to 4 of xe^{sqrt(x)}

\int_{0}^{4} x e^{x} d x

d/(dt)((t^3)/6+(t^2)/4+1/2 t)

\frac{d}{d t} (\frac{t ^{3}}{6} + \frac{t ^{2}}{4} + \frac{1}{2} t)

integral of (sec(x)tan(x))/(sec(x)-7)

\int \frac{sec ( x ) tan ( x )}{sec ( x ) - 7} d x

d/(dθ)(-2sin(θ))

\frac{d}{d θ} (- 2 sin (θ))