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Beliebt Rechnen >

5/8 x^{''}+40x=0,x(0)= 1/3 ,x^'(0)=0

Lösung

\frac{5}{8} x^{^{''}} + 40 x = 0, x (0) = \frac{1}{3}, x^{^{'}} (0) = 0

Lösung

x = \frac{1}{3} cos (8 t)

Schritte zur Lösung

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

Solve linear ODE:

x = \frac{1}{3} cos (8 t)

x = \frac{1}{3} cos (8 t)

Graph

Beliebte Beispiele

y^{''}+2αy^'+α^2y=0

y^{^{''}} + 2 α y^{^{'}} + α^{2} y = 0

y^{''}+6y^'+9y=0,y(0)=-1,y^'(0)=1

y^{^{''}} + 6 y^{^{'}} + 9 y = 0, y (0) = - 1, y^{^{'}} (0) = 1

y^{''}+4y^'+68y=0,y(0)=7

y^{^{''}} + 4 y^{^{'}} + 68 y = 0, y (0) = 7

2x^{''}+32x=0,x(0)=0,x^'(0)=0

2 x^{^{''}} + 32 x = 0, x (0) = 0, x^{^{'}} (0) = 0

y^{'''}+2y^{''}-11y^'-52y=0

y^{^{'''}} + 2 y^{^{''}} - 11 y^{^{'}} - 52 y = 0