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Beliebt Rechnen >

3/4*x^{''}+36x=0,x^'(0)=0,x(0)=-6

Lösung

\frac{3}{4} \cdot x^{^{''}} + 36 x = 0, x^{^{'}} (0) = 0, x (0) = - 6

Lösung

x = - 6 cos (43 t)

Schritte zur Lösung

\frac{3}{4} \cdot x^{''} (t) + 36 x = 0

Solve linear ODE:

x = - 6 cos (43 t)

x = - 6 cos (43 t)

Graph

Beliebte Beispiele

y^{''}+6y^'+8y=0,y(0)=0,y^'(0)=-5

y^{^{''}} + 6 y^{^{'}} + 8 y = 0, y (0) = 0, y^{^{'}} (0) = - 5

(y^{''})/8+30y^'+500y=0

\frac{y ^{^{''}}}{8} + 30 y^{^{'}} + 500 y = 0

y^{''}-23y^'+112y=0,y(0)=3,y^'(0)=48

y^{^{''}} - 23 y^{^{'}} + 112 y = 0, y (0) = 3, y^{^{'}} (0) = 48

2 x^{^{''}} + 7 x = 0

(D^2+4D+29)^2y=0

(D^{2} + 4 D + 29)^{2} y = 0