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Beliebt Rechnen >

x^{''}+32/2 x=0,x(0)=-1,x^'(0)=-6

Lösung

x^{^{''}} + \frac{32}{2} x = 0, x (0) = - 1, x^{^{'}} (0) = - 6

Lösung

x = - cos (4 t) - \frac{3}{2} sin (4 t)

Schritte zur Lösung

x^{''} (t) + \frac{32}{2} x = 0

Solve linear ODE:

x = - cos (4 t) - \frac{3}{2} sin (4 t)

x = - cos (4 t) - \frac{3}{2} sin (4 t)

Graph

Beliebte Beispiele

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

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

y^{''}-4y^'-14y=0

y^{^{''}} - 4 y^{^{'}} - 14 y = 0

6y^{''}+5y^'+y=0

6 y^{^{''}} + 5 y^{^{'}} + y = 0

(D^4+8D^2+16)y=0

(D^{4} + 8 D^{2} + 16) y = 0

-6y^{''}+54y^'=0,y^'(-1)=1,y(2)=1

- 6 y^{^{''}} + 54 y^{^{'}} = 0, y^{^{'}} (- 1) = 1, y (2) = 1