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Beliebt Rechnen >

x^{''}+32/2 x=0,x(0)=-1,x^'(0)=-5

Lösung

x^{^{''}} + \frac{32}{2} x = 0, x (0) = - 1, x^{^{'}} (0) = - 5

Lösung

x = - cos (4 t) - \frac{5}{4} sin (4 t)

Schritte zur Lösung

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

Solve linear ODE:

x = - cos (4 t) - \frac{5}{4} sin (4 t)

x = - cos (4 t) - \frac{5}{4} sin (4 t)

Graph

Beliebte Beispiele

y^{''}-2y^'-17y=0

y^{^{''}} - 2 y^{^{'}} - 17 y = 0

5y^{''}-11y^'+2y=0,y(0)=-5,y^'(0)=-6.4

5 y^{^{''}} - 11 y^{^{'}} + 2 y = 0, y (0) = - 5, y^{^{'}} (0) = - 6.4

y^{''}+6y^'+8y=0,y(0)=-6,y^'(0)=18

y^{^{''}} + 6 y^{^{'}} + 8 y = 0, y (0) = - 6, y^{^{'}} (0) = 18

y 4 + 3 y^{^{''}} + y = 0

y^{''}+8/100 y^'+12/10000 y=0

y^{^{''}} + \frac{8}{100} y^{^{'}} + \frac{12}{10000} y = 0