de

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Beliebt Rechnen >

x^2y^{''}-2xy^'+(2+x^2)y=0

Lösung

x^{2} y^{^{''}} - 2 x y^{^{'}} + (2 + x^{2}) y = 0

Lösung

y = c_{1} \frac{1}{x} sin (x) x^{\frac{3}{2}} + c_{2} \frac{1}{x} cos (x) x^{\frac{3}{2}}

Schritte zur Lösung

x^{2} y^{''} (x) - 2 x y^{'} (x) + (2 + x^{2}) y = 0

Solve linear ODE:

y = c_{1} \frac{1}{x} sin (x) x^{\frac{3}{2}} + c_{2} \frac{1}{x} cos (x) x^{\frac{3}{2}}

y = c_{1} \frac{1}{x} sin (x) x^{\frac{3}{2}} + c_{2} \frac{1}{x} cos (x) x^{\frac{3}{2}}

Graph

Beliebte Beispiele

derivative e^{ln(1+1/k)}

d er i v a t i v e e^{l n (1 + \frac{1}{k})}

derivative of xln(xcos(x))

\frac{d}{d x} (x ln (x) cos (x))

integral of 1/(3x)+cos(2x)-5x^2

\int \frac{1}{3 x} + cos (2 x) - 5 x^{2} d x

d/(dθ)(cot^2(sin(θ)))

\frac{d}{d θ} (cot^{2} (sin (θ)))

d/(dt)(e^{4t}cos(t))

\frac{d}{d t} (e^{4 t} cos (t))