de

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Beliebt Rechnen >

4y^{''}-y^'+y=0

Lösung

4 y^{^{''}} - y^{^{'}} + y = 0

Lösung

y = e^{\frac{t}{8}} (c_{1} cos (\frac{15 t}{8}) + c_{2} sin (\frac{15 t}{8}))

Schritte zur Lösung

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

Solve linear ODE:

y = e^{\frac{t}{8}} (c_{1} cos (\frac{15 t}{8}) + c_{2} sin (\frac{15 t}{8}))

y = e^{\frac{t}{8}} (c_{1} cos (\frac{15 t}{8}) + c_{2} sin (\frac{15 t}{8}))

Graph

Beliebte Beispiele

y^{''}+2y^'-y=10

y^{^{''}} + 2 y^{^{'}} - y = 10

(dy)/(dx)=sqrt(1-9y^2),y(-1)=0

\frac{d y}{d x} = 1 - 9 y^{2}, y (- 1) = 0

limit as x approaches 0 of (|sin(x)|)/x

x \to 0 lim (\frac{∣ sin ( x ) ∣}{x})

derivative of-(600/(x^2)+4)

\frac{d}{d x} (- \frac{600}{x ^{2}} + 4)

tangent f(x)=4x-3x^2,\at x=2

t an g e n t f (x) = 4 x - 3 x^{2}, at x = 2