de

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Beliebt Rechnen >

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

Lösung

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

Lösung

y = c_{1} e^{- x} + c_{2} x e^{- x} + \frac{6}{169} e^{2 x} sin (2 x) + \frac{5}{338} e^{2 x} cos (2 x)

Schritte zur Lösung

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

Solve linear ODE:

y = c_{1} e^{- x} + c_{2} x e^{- x} + \frac{6}{169} e^{2 x} sin (2 x) + \frac{5}{338} e^{2 x} cos (2 x)

y = c_{1} e^{- x} + c_{2} x e^{- x} + \frac{6}{169} e^{2 x} sin (2 x) + \frac{5}{338} e^{2 x} cos (2 x)

Graph

Beliebte Beispiele

x^{^{''}} - x = 1

2y^{''}-4y^'+4y=e^xtan(x)sec(x)

2 y^{^{''}} - 4 y^{^{'}} + 4 y = e^{x} tan (x) sec (x)

x^{''}+49x=99cos(4t)

x^{^{''}} + 49 x = 99 cos (4 t)

y^{''}-8y^'+20y=100x^2-65

y^{^{''}} - 8 y^{^{'}} + 20 y = 100 x^{2} - 65

y^{''}+2y^'-8y=4e^{-2x}-e^{-x}

y^{^{''}} + 2 y^{^{'}} - 8 y = 4 e^{- 2 x} - e^{- x}