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Beliebt Rechnen >

24/32 x^{''}+6x=0,x(0)=0.5,x^'(0)=0

Lösung

\frac{24}{32} x^{^{''}} + 6 x = 0, x (0) = 0.5, x^{^{'}} (0) = 0

Lösung

x = 0.5 cos (2^{\frac{1}{2} + 1} t)

Schritte zur Lösung

\frac{24}{32} x^{''} (t) + 6 x = 0

Solve linear ODE:

x = 0.5 cos (2^{\frac{1}{2} + 1} t)

x = 0.5 cos (2^{\frac{1}{2} + 1} t)

Graph

Beliebte Beispiele

(d^4y)/(dx^4)-(dy)/(dx)=0

\frac{d ^{4} y}{d x ^{4}} - \frac{d y}{d x} = 0

y^{''}-4y^'+5y=0,y(0)=2,y^'(0)=-5

y^{^{''}} - 4 y^{^{'}} + 5 y = 0, y (0) = 2, y^{^{'}} (0) = - 5

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

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

(D^3-6D^2+11D-6)y=0

(D^{3} - 6 D^{2} + 11 D - 6) y = 0

20y^{''}+240y^'+800y=0

20 y^{^{''}} + 240 y^{^{'}} + 800 y = 0