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Beliebt Rechnen >

y^{''}-14y^'+48y=0

Lösung

y^{^{''}} - 14 y^{^{'}} + 48 y = 0

Lösung

y = c_{1} e^{8 t} + c_{2} e^{6 t}

Schritte zur Lösung

y^{''} (t) - 14 y^{'} (t) + 48 y = 0

Solve linear ODE:

y = c_{1} e^{8 t} + c_{2} e^{6 t}

y = c_{1} e^{8 t} + c_{2} e^{6 t}

Graph

Beliebte Beispiele

integral of sqrt(x+10)

\int x + 10 d x

integral from 0 to pi/2 of cos(5t)cos(10t)

\int_{0}^{\frac{π}{2}} cos (5 t) cos (10 t) d t

(d^2)/(dx^2)(sin(3x^2+2))

\frac{d ^{2}}{d x ^{2}} (sin (3 x^{2} + 2))

limit as x approaches 0 of cos(x)-1

x \to 0 lim (cos (x) - 1)

derivative (sqrt(3))/(x^5)

d er i v a t i v e \frac{3}{x ^{5}}