de

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Beliebt Rechnen >

y^{''}+2y^'=x+1

Lösung

y^{^{''}} + 2 y^{^{'}} = x + 1

Lösung

y = c_{1} + c_{2} e^{- 2 x} + \frac{x ^{2}}{4} + \frac{x}{4}

Schritte zur Lösung

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

Solve linear ODE:

y = c_{1} + c_{2} e^{- 2 x} + \frac{x ^{2}}{4} + \frac{x}{4}

y = c_{1} + c_{2} e^{- 2 x} + \frac{x ^{2}}{4} + \frac{x}{4}

Graph

Beliebte Beispiele

x^{''}+x=8cos(6t)

x^{^{''}} + x = 8 cos (6 t)

y^{''}+2y^'-3y=x^2-1

y^{^{''}} + 2 y^{^{'}} - 3 y = x^{2} - 1

(d^2x)/(dt^2)+16x=12cos(9t)

\frac{d ^{2} x}{d t ^{2}} + 16 x = 12 cos (9 t)

y^{''}-3y^'-18y=xe^{3x}

y^{^{''}} - 3 y^{^{'}} - 18 y = x e^{3 x}

y^{''}+y=e^{-t}sin(e^{-t})+cos(e^{-t})

y^{^{''}} + y = e^{- t} sin (e^{- t}) + cos (e^{- t})