de

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Beliebt Rechnen >

(d^2y)/(dt^2)-18(dy)/(dt)+145y=0

Lösung

\frac{d ^{2} y}{d t ^{2}} - 18 \frac{d y}{d t} + 145 y = 0

Lösung

y = e^{9 t} (c_{1} cos (8 t) + c_{2} sin (8 t))

Schritte zur Lösung

\frac{d ^{2} y}{d t ^{2}} - 18 \frac{d y}{d t} + 145 y = 0

Solve linear ODE:

y = e^{9 t} (c_{1} cos (8 t) + c_{2} sin (8 t))

y = e^{9 t} (c_{1} cos (8 t) + c_{2} sin (8 t))

Graph

Beliebte Beispiele

y^{'''}-3y^{''}-15y^'+25y=0

y^{^{'''}} - 3 y^{^{''}} - 15 y^{^{'}} + 25 y = 0

15y^{''}-16y^'-7y=0

15 y^{^{''}} - 16 y^{^{'}} - 7 y = 0

y^{''}-11y^'-42y=0

y^{^{''}} - 11 y^{^{'}} - 42 y = 0

y^{''}+y^'+(1+a)y=0

y^{^{''}} + y^{^{'}} + (1 + a) y = 0

y^{^{''}} + 169 y = 0