de

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Beliebt Rechnen >

y^{''}-5y=(x-1)sin(x)+(x+1)cos(x)

Lösung

y^{^{''}} - 5 y = (x - 1) sin (x) + (x + 1) cos (x)

Lösung

y = c_{1} e^{5 x} + c_{2} e^{- 5 x} + \frac{2}{9} sin (x) - \frac{2}{9} cos (x) + \frac{- x sin ( x ) - x cos ( x )}{6}

Schritte zur Lösung

y^{''} (x) - 5 y = (x - 1) sin (x) + (x + 1) cos (x)

Solve linear ODE:

y = c_{1} e^{5 x} + c_{2} e^{- 5 x} + \frac{2}{9} sin (x) - \frac{2}{9} cos (x) + \frac{- x sin ( x ) - x cos ( x )}{6}

y = c_{1} e^{5 x} + c_{2} e^{- 5 x} + \frac{2}{9} sin (x) - \frac{2}{9} cos (x) + \frac{- x sin ( x ) - x cos ( x )}{6}

Graph

Beliebte Beispiele

y^{''}+9y^'+8y=3e^{5x}

y^{^{''}} + 9 y^{^{'}} + 8 y = 3 e^{5 x}

y^{''}-6y^'+25y=2sin(t)-cos(t)

y^{^{''}} - 6 y^{^{'}} + 25 y = 2 sin (t) - cos (t)

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

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

y^{''}-2y^'+17y=e^xsin(x)

y^{^{''}} - 2 y^{^{'}} + 17 y = e^{x} sin (x)

y^{''}-4y^'-5y=2+e^{-t},y(0)=0,y^'(0)=0

y^{^{''}} - 4 y^{^{'}} - 5 y = 2 + e^{- t}, y (0) = 0, y^{^{'}} (0) = 0