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Beliebt Rechnen >

5/8 x^{''}+40x=0

Lösung

\frac{5}{8} x^{^{''}} + 40 x = 0

Lösung

x = c_{1} cos (8 t) + c_{2} sin (8 t)

Schritte zur Lösung

\frac{5}{8} x^{''} (t) + 40 x = 0

Solve linear ODE:

x = c_{1} cos (8 t) + c_{2} sin (8 t)

x = c_{1} cos (8 t) + c_{2} sin (8 t)

Graph

Beliebte Beispiele

(d^2y)/(dt^2)-4(dy)/(dt)=0

\frac{d ^{2} y}{d t ^{2}} - 4 \frac{d y}{d t} = 0

y^{''}+18y^'=0,y(0)=18

y^{^{''}} + 18 y^{^{'}} = 0, y (0) = 18

(0+1)y^{''}+(7+1)y^'-(6+1)y=0

(0 + 1) y^{^{''}} + (7 + 1) y^{^{'}} - (6 + 1) y = 0

15y^{''}-16y^'+y=0,y(0)=15,y^'(0)= 1/15

15 y^{^{''}} - 16 y^{^{'}} + y = 0, y (0) = 15, y^{^{'}} (0) = \frac{1}{15}

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

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