de

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Beliebt Rechnen >

y^{'''}+2y^{''}=12x+4

Lösung

y^{^{'''}} + 2 y^{^{''}} = 12 x + 4

Lösung

y = c_{1} e^{- 2 x} + c_{2} + c_{3} x + x^{3} - \frac{x ^{2}}{2}

Schritte zur Lösung

y^{'''} (x) + 2 y^{''} (x) = 12 x + 4

Solve linear ODE:

y = c_{1} e^{- 2 x} + c_{2} + c_{3} x + x^{3} - \frac{x ^{2}}{2}

y = c_{1} e^{- 2 x} + c_{2} + c_{3} x + x^{3} - \frac{x ^{2}}{2}

Graph

Beliebte Beispiele

y^{''}+25y=25sec^2(5t)

y^{^{''}} + 25 y = 25 sec^{2} (5 t)

x''+2x=8,x(pi)=0,x(0)=0

x^{''} + 2 x = 8, x (π) = 0, x (0) = 0

y^{''}-y^'-42y=-122t+84t^2

y^{^{''}} - y^{^{'}} - 42 y = - 122 t + 84 t^{2}

(d^2y)/(dt^2)+12(dy)/(dt)+36y=-4t+3

\frac{d ^{2} y}{d t ^{2}} + 12 \frac{d y}{d t} + 36 y = - 4 t + 3

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

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