de

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Beliebt Rechnen >

(d^2y)/(dx^2)-6(dy)/(dx)+9y=54x+18

Lösung

\frac{d ^{2} y}{d x ^{2}} - 6 \frac{d y}{d x} + 9 y = 54 x + 18

Lösung

y = c_{1} e^{3 x} + c_{2} x e^{3 x} + 6 x + 6

Schritte zur Lösung

\frac{d ^{2} y}{d x ^{2}} - 6 \frac{d y}{d x} + 9 y = 54 x + 18

Solve linear ODE:

y = c_{1} e^{3 x} + c_{2} x e^{3 x} + 6 x + 6

y = c_{1} e^{3 x} + c_{2} x e^{3 x} + 6 x + 6

Graph

Beliebte Beispiele

y^{'''}-6y^{''}+12y^'-8y=5e^{2x}

y^{^{'''}} - 6 y^{^{''}} + 12 y^{^{'}} - 8 y = 5 e^{2 x}

y^{''}-y^'-2y=7x+4

y^{^{''}} - y^{^{'}} - 2 y = 7 x + 4

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

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

y^{''}-4y=t^2+1

y^{^{''}} - 4 y = t^{2} + 1

y^{''}+3y^'+2y=20e^{-t}

y^{^{''}} + 3 y^{^{'}} + 2 y = 20 e^{- t}