de

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Beliebt Rechnen >

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

Lösung

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

Lösung

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

Schritte zur Lösung

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

Solve linear ODE:

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

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

Graph

Beliebte Beispiele

y^{''}-9y=1,y(0)=0

y^{^{''}} - 9 y = 1, y (0) = 0

y^{''}-4y^'+4y=-7x+4x^2,y(0)=0,y^'(0)=1

y^{^{''}} - 4 y^{^{'}} + 4 y = - 7 x + 4 x^{2}, y (0) = 0, y^{^{'}} (0) = 1

3y^{''}+3y^'-6y=4e^{-2x}

3 y^{^{''}} + 3 y^{^{'}} - 6 y = 4 e^{- 2 x}

y^{''}+y=cos((-t+pi)/2)

y^{^{''}} + y = cos (\frac{- t + π}{2})

(D^2+9)y=4cos(3x)

(D^{2} + 9) y = 4 cos (3 x)