de

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Beliebt Rechnen >

y^{'''}+y^'=sin(x)

Lösung

y^{^{'''}} + y^{^{'}} = sin (x)

Lösung

y = c_{1} + c_{2} cos (x) + c_{3} sin (x) - \frac{x sin ( x )}{2}

Schritte zur Lösung

y^{'''} (x) + y^{'} (x) = sin (x)

Solve linear ODE:

y = c_{1} + c_{2} cos (x) + c_{3} sin (x) - \frac{x sin ( x )}{2}

y = c_{1} + c_{2} cos (x) + c_{3} sin (x) - \frac{x sin ( x )}{2}

Graph

Beliebte Beispiele

y^{''}+2y^'+y=(ln(x))/(e^x)

y^{^{''}} + 2 y^{^{'}} + y = \frac{ln ( x )}{e ^{x}}

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

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

(D^3+10D^2+25D)y=e^x

(D^{3} + 10 D^{2} + 25 D) y = e^{x}

y^{^{''}} + 3 y^{^{'}} = 4

2y^{''}+y^'-y=3x+4,y(0)=1,y^'(0)=1

2 y^{^{''}} + y^{^{'}} - y = 3 x + 4, y (0) = 1, y^{^{'}} (0) = 1