de

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Beliebt Rechnen >

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

Lösung

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

Lösung

y = e^{- x} (c_{1} cos (x) + c_{2} sin (x)) + \frac{2}{5} sin (x) + \frac{1}{5} cos (x)

Schritte zur Lösung

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

Solve linear ODE:

y = e^{- x} (c_{1} cos (x) + c_{2} sin (x)) + \frac{2}{5} sin (x) + \frac{1}{5} cos (x)

y = e^{- x} (c_{1} cos (x) + c_{2} sin (x)) + \frac{2}{5} sin (x) + \frac{1}{5} cos (x)

Graph

Beliebte Beispiele

y^{''}-2y^'+y=-4e^x+3x^2

y^{^{''}} - 2 y^{^{'}} + y = - 4 e^{x} + 3 x^{2}

y^{''}+3y^'+4y=8x+2

y^{^{''}} + 3 y^{^{'}} + 4 y = 8 x + 2

(d^2+d)y=x^2+2x-3

(d^{2} + d) y = x^{2} + 2 x - 3

2y^{''}+12y=6tan(3x)

2 y^{^{''}} + 12 y = 6 tan (3 x)

y^{''}+4y^'+5y=-5x+3e^{(-x)}

y^{^{''}} + 4 y^{^{'}} + 5 y = - 5 x + 3 e^{(- x)}