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Beliebt Rechnen >

49y^{''}+140y^'+136y=0,y(0)=7,y^'(0)=6

Lösung

49 y^{^{''}} + 140 y^{^{'}} + 136 y = 0, y (0) = 7, y^{^{'}} (0) = 6

Lösung

y = e^{- \frac{10 t}{7}} (7 cos (\frac{6 t}{7}) + \frac{56}{3} sin (\frac{6 t}{7}))

Schritte zur Lösung

49 y^{''} (t) + 140 y^{'} (t) + 136 y = 0

Solve linear ODE:

y = e^{- \frac{10 t}{7}} (7 cos (\frac{6 t}{7}) + \frac{56}{3} sin (\frac{6 t}{7}))

y = e^{- \frac{10 t}{7}} (7 cos (\frac{6 t}{7}) + \frac{56}{3} sin (\frac{6 t}{7}))

Graph

Beliebte Beispiele

y^{''}+16y^'+63y=0,y(0)=9,y^'(0)=-69

y^{^{''}} + 16 y^{^{'}} + 63 y = 0, y (0) = 9, y^{^{'}} (0) = - 69

2 y^{^{''}} + 25 y = 0

y^{''}+0.46y^'+128y=0

y^{^{''}} + 0.46 y^{^{'}} + 128 y = 0

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

f^{''}(t)+2f^'(t)+5f(t)=0,f(0)=3,f^'(0)=-7

f^{^{''}} (t) + 2 f^{^{'}} (t) + 5 f (t) = 0, f (0) = 3, f^{^{'}} (0) = - 7