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)-4(dy)/(dx)-5y=0

Lösung

\frac{d ^{2} y}{d x ^{2}} - 4 \frac{d y}{d x} - 5 y = 0

Lösung

y = c_{1} e^{5 x} + c_{2} e^{- x}

Schritte zur Lösung

\frac{d ^{2} y}{d x ^{2}} - 4 \frac{d y}{d x} - 5 y = 0

Solve linear ODE:

y = c_{1} e^{5 x} + c_{2} e^{- x}

y = c_{1} e^{5 x} + c_{2} e^{- x}

Graph

Beliebte Beispiele

u^{''}+\H(t)=0,\H(0)=0,u^'(0)=2

u^{^{''}} + H (t) = 0, H (0) = 0, u^{^{'}} (0) = 2

2y^{''}+2y^'+8y=0

2 y^{^{''}} + 2 y^{^{'}} + 8 y = 0

(d^2y)/(dx^2)+7(dy)/(dx)-8y=0

\frac{d ^{2} y}{d x ^{2}} + 7 \frac{d y}{d x} - 8 y = 0

y^{''}-16y^'+113y=0

y^{^{''}} - 16 y^{^{'}} + 113 y = 0

(d^4x)/(dt^4)-x=0

\frac{d ^{4} x}{d t ^{4}} - x = 0