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Beliebt Rechnen >

x^{''}+(sqrt(2))/(16)x^'+2x=0

Lösung

x^{^{''}} + \frac{2}{16} x^{^{'}} + 2 x = 0

Lösung

x = e^{- \frac{t}{2 ^{\frac{9}{2}}}} (c_{1} cos (\frac{1023}{2 ^{9}} t) + c_{2} sin (\frac{1023}{2 ^{9}} t))

Schritte zur Lösung

x^{''} (t) + \frac{2}{16} x^{'} (t) + 2 x = 0

Solve linear ODE:

x = e^{- \frac{t}{2 ^{\frac{9}{2}}}} (c_{1} cos (\frac{1023}{2 ^{9}} t) + c_{2} sin (\frac{1023}{2 ^{9}} t))

x = e^{- \frac{t}{2 ^{\frac{9}{2}}}} (c_{1} cos (\frac{1023}{2 ^{9}} t) + c_{2} sin (\frac{1023}{2 ^{9}} t))

Graph

Beliebte Beispiele

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

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

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

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

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