de

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Beliebt Rechnen >

0.25y^{''}+y^'+y=x^2-2x

Lösung

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

Lösung

y = c_{1} e^{- 2 x} + c_{2} x e^{- 2 x} + x^{2} - 4 x + 3.5

Schritte zur Lösung

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

Solve linear ODE:

y = c_{1} e^{- 2 x} + c_{2} x e^{- 2 x} + x^{2} - 4 x + 3.5

y = c_{1} e^{- 2 x} + c_{2} x e^{- 2 x} + x^{2} - 4 x + 3.5

Graph

Beliebte Beispiele

(d^2y)/(dx^2)+(dy)/(dx)+y=x

\frac{d ^{2} y}{d x ^{2}} + \frac{d y}{d x} + y = x

y^{''}-6y^'+9y=sin(2x)+x

y^{^{''}} - 6 y^{^{'}} + 9 y = sin (2 x) + x

y^{''}+4y^'+6y=4e^{-2t}cos(t)

y^{^{''}} + 4 y^{^{'}} + 6 y = 4 e^{- 2 t} cos (t)

(d^2-3d+2)y=xe^x

(d^{2} - 3 d + 2) y = x e^{x}

y^{''}-y^'-2y=16xe^{3x}

y^{^{''}} - y^{^{'}} - 2 y = 16 x e^{3 x}