de

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Beliebt Rechnen >

y^{''}-4y^'+4y=cos(2x)

Lösung

y^{^{''}} - 4 y^{^{'}} + 4 y = cos (2 x)

Lösung

y = c_{1} e^{2 x} + c_{2} x e^{2 x} - \frac{1}{8} sin (2 x)

Schritte zur Lösung

y^{''} (x) - 4 y^{'} (x) + 4 y = cos (2 x)

Solve linear ODE:

y = c_{1} e^{2 x} + c_{2} x e^{2 x} - \frac{1}{8} sin (2 x)

y = c_{1} e^{2 x} + c_{2} x e^{2 x} - \frac{1}{8} sin (2 x)

Graph

Beliebte Beispiele

2y^{''}-y^'-3y=3xe^{2x}

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

y^{''}+y=x^2+1,y(0)=3,y(1)=0

y^{^{''}} + y = x^{2} + 1, y (0) = 3, y (1) = 0

D(D+3)y=x(5+e^x)

D (D + 3) y = x (5 + e^{x})

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

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

y^{''}-y=e^tcos(t),y(0)=0,y^'(0)=0

y^{^{''}} - y = e^{t} cos (t), y (0) = 0, y^{^{'}} (0) = 0