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Beliebt Rechnen >

x^{''}-200x=0

Lösung

x^{^{''}} - 200 x = 0

Lösung

x = c_{1} e^{102 t} + c_{2} e^{- 102 t}

Schritte zur Lösung

x^{''} (t) - 200 x = 0

Solve linear ODE:

x = c_{1} e^{102 t} + c_{2} e^{- 102 t}

x = c_{1} e^{102 t} + c_{2} e^{- 102 t}

Graph

Beliebte Beispiele

5y^{''}+2y^'+7y=0,y(0)=2,y^'(0)=1

5 y^{^{''}} + 2 y^{^{'}} + 7 y = 0, y (0) = 2, y^{^{'}} (0) = 1

y^{'''}+y^{''}-12y=0

y^{^{'''}} + y^{^{''}} - 12 y = 0

y^{''}-6y^'-10y=0

y^{^{''}} - 6 y^{^{'}} - 10 y = 0

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

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

y^{''}+2y^'+2y=0,y(pi/2)=0,y^'(pi/2)=4

y^{^{''}} + 2 y^{^{'}} + 2 y = 0, y (\frac{π}{2}) = 0, y^{^{'}} (\frac{π}{2}) = 4