de

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Beliebt Rechnen >

(d^3y)/(dx^3)+3(d^2y)/(dx^2)-4y=0

Lösung

\frac{d ^{3} y}{d x ^{3}} + 3 \frac{d ^{2} y}{d x ^{2}} - 4 y = 0

Lösung

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

Schritte zur Lösung

\frac{d ^{3} y}{d x ^{3}} + 3 \frac{d ^{2} y}{d x ^{2}} - 4 y = 0

Solve linear ODE:

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

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

Graph

Beliebte Beispiele

y^{''}+ky^'+8y=0

y^{^{''}} + k y^{^{'}} + 8 y = 0

100y^{''}-140y^'+85y=0,y(2)=9,y^'(2)=8

100 y^{^{''}} - 140 y^{^{'}} + 85 y = 0, y (2) = 9, y^{^{'}} (2) = 8

x^{^{''}} - 6 x = 0

y^{''}+y^'-10/3 y=0

y^{^{''}} + y^{^{'}} - \frac{10}{3} y = 0

x^{''}+8x^'+4x=0

x^{^{''}} + 8 x^{^{'}} + 4 x = 0