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Beliebt Rechnen >

755x^{''}+2x^'+10x=0

Lösung

755 x^{^{''}} + 2 x^{^{'}} + 10 x = 0

Lösung

x = e^{- \frac{t}{755}} (c_{1} cos (\frac{7549 t}{755}) + c_{2} sin (\frac{7549 t}{755}))

Schritte zur Lösung

755 x^{''} (t) + 2 x^{'} (t) + 10 x = 0

Solve linear ODE:

x = e^{- \frac{t}{755}} (c_{1} cos (\frac{7549 t}{755}) + c_{2} sin (\frac{7549 t}{755}))

x = e^{- \frac{t}{755}} (c_{1} cos (\frac{7549 t}{755}) + c_{2} sin (\frac{7549 t}{755}))

Graph

Beliebte Beispiele

y^{''}+12y^'+27y=0,y(0)=12,y^'(0)=-84

y^{^{''}} + 12 y^{^{'}} + 27 y = 0, y (0) = 12, y^{^{'}} (0) = - 84

2(D^4+11D^3-4D^2-69D+34)y=0

2 (D^{4} + 11 D^{3} - 4 D^{2} - 69 D + 34) y = 0

y^{''}+18y^'+80y=0,y(0)=8,y^'(0)=-76

y^{^{''}} + 18 y^{^{'}} + 80 y = 0, y (0) = 8, y^{^{'}} (0) = - 76

7y^{''}+3y^'+7y=0

7 y^{^{''}} + 3 y^{^{'}} + 7 y = 0

y^{''}-4y^'-5y=0\quad

y^{^{''}} - 4 y^{^{'}} - 5 y = 0