de

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Beliebt Rechnen >

(D^2+1)y=e^{ix}

Lösung

(D^{2} + 1) y = e^{i x}

Lösung

y = c_{1} cos (x) + c_{2} sin (x) - \frac{i x cos ( x )}{2} + \frac{x sin ( x )}{2}

Schritte zur Lösung

(D^{2} + 1) y = e^{i x}

Solve linear ODE:

y = c_{1} cos (x) + c_{2} sin (x) - \frac{i x cos ( x )}{2} + \frac{x sin ( x )}{2}

y = c_{1} cos (x) + c_{2} sin (x) - \frac{i x cos ( x )}{2} + \frac{x sin ( x )}{2}

Graph

Beliebte Beispiele

y^{''}-2y^'-3y=t^2+3e^{-t}cos(4t)

y^{^{''}} - 2 y^{^{'}} - 3 y = t^{2} + 3 e^{- t} cos (4 t)

y^{'''}+4y^'=sec(2t)

y^{^{'''}} + 4 y^{^{'}} = sec (2 t)

D(D-1)^3(y)=(x^2+2x)e^x

D (D - 1)^{3} (y) = (x^{2} + 2 x) e^{x}

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

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

y^{''}+y^'+64y=5cos(2t)

y^{^{''}} + y^{^{'}} + 64 y = 5 cos (2 t)