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=x^2+2

Lösung

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

Lösung

y = c_{1} e^{- x} + c_{2} x e^{- x} + x^{2} - 4 x + 8

Schritte zur Lösung

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

Solve linear ODE:

y = c_{1} e^{- x} + c_{2} x e^{- x} + x^{2} - 4 x + 8

y = c_{1} e^{- x} + c_{2} x e^{- x} + x^{2} - 4 x + 8

Graph

Beliebte Beispiele

y^{''}+y=sin(3t)

y^{^{''}} + y = sin (3 t)

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

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

y^{''}-8y^'+16y=t,y(0)=0,y^'(0)=1

y^{^{''}} - 8 y^{^{'}} + 16 y = t, y (0) = 0, y^{^{'}} (0) = 1

y^{''}+4y=4cos(x)+3sin(x)-8

y^{^{''}} + 4 y = 4 cos (x) + 3 sin (x) - 8

y^{''}+4y^'+3y=12

y^{^{''}} + 4 y^{^{'}} + 3 y = 12