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Beliebt Rechnen >

4y^{''}+4y^'+1y=0,y(2)=-6,y^'(2)=4

Lösung

4 y^{^{''}} + 4 y^{^{'}} + 1 y = 0, y (2) = - 6, y^{^{'}} (2) = 4

Lösung

y = - 8 e^{1 - \frac{t}{2}} + e^{1 - \frac{t}{2}} t

Schritte zur Lösung

4 y^{''} (t) + 4 y^{'} (t) + 1 y = 0

Solve linear ODE:

y = - 8 e^{1 - \frac{t}{2}} + e^{1 - \frac{t}{2}} t

y = - 8 e^{1 - \frac{t}{2}} + e^{1 - \frac{t}{2}} t

Graph

Beliebte Beispiele

integral from 3 to 6 of x/(sqrt(x-3))

\int_{3}^{6} \frac{x}{x - 3} d x

limit as k approaches infinity of 1/k

k \to \infty lim (\frac{1}{k})

integral of (sin(x)cos(x))^2

\int (sin (x) cos (x))^{2} d x

derivative of-2x^2-5

\frac{d}{d x} (- 2 x^{2} - 5)

fläche y=x^2-2,y=2

a re a y = x^{2} - 2, y = 2