de

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Beliebt Rechnen >

y^{''}-8y^'+16y=0,y(0)=3,y^'(0)=0

Lösung

y^{^{''}} - 8 y^{^{'}} + 16 y = 0, y (0) = 3, y^{^{'}} (0) = 0

Lösung

y = 3 e^{4 t} - 12 e^{4 t} t

Schritte zur Lösung

y^{''} (t) - 8 y^{'} (t) + 16 y = 0

Solve linear ODE:

y = 3 e^{4 t} - 12 e^{4 t} t

y = 3 e^{4 t} - 12 e^{4 t} t

Graph

Beliebte Beispiele

derivative of 2x^2+7

\frac{d}{d x} (2 x^{2} + 7)

tangent f(x)=(4x+5)(5x-1),\at x=3

t an g e n t f (x) = (4 x + 5) (5 x - 1), at x = 3

integral of-x/(sqrt(1-x^2))

\int - \frac{x}{1 - x ^{2}} d x

derivative of x,(x)

\frac{d}{d x} (x, (x))

f(x)=\sqrt[4]{6x^4-7x^2}

f (x) = 4 6 x^{4} - 7 x^{2}