de

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Beliebt Rechnen >

y^{''}-12y^'+36y=18x+2

Lösung

y^{^{''}} - 12 y^{^{'}} + 36 y = 18 x + 2

Lösung

y = c_{1} e^{6 x} + c_{2} x e^{6 x} + \frac{x}{2} + \frac{2}{9}

Schritte zur Lösung

y^{''} (x) - 12 y^{'} (x) + 36 y = 18 x + 2

Solve linear ODE:

y = c_{1} e^{6 x} + c_{2} x e^{6 x} + \frac{x}{2} + \frac{2}{9}

y = c_{1} e^{6 x} + c_{2} x e^{6 x} + \frac{x}{2} + \frac{2}{9}

Graph

Beliebte Beispiele

y^{''}-5y=2x^3-4x^2-x+6

y^{^{''}} - 5 y = 2 x^{3} - 4 x^{2} - x + 6

y^{''}+4y^'+5y=10e^{-2x}cos(x)

y^{^{''}} + 4 y^{^{'}} + 5 y = 10 e^{- 2 x} cos (x)

y^{''}+6y^'+9y=cos(x)

y^{^{''}} + 6 y^{^{'}} + 9 y = cos (x)

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

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

(d^2y)/(dx^2)-9(dy)/(dx)+2y=xe^x

\frac{d ^{2} y}{d x ^{2}} - 9 \frac{d y}{d x} + 2 y = x e^{x}