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Beliebt Rechnen >

y^{''}-14y^'+85y=0,y(0)=2,y^'(0)=-4

Lösung

y^{^{''}} - 14 y^{^{'}} + 85 y = 0, y (0) = 2, y^{^{'}} (0) = - 4

Lösung

y = e^{7 t} (2 cos (6 t) - 3 sin (6 t))

Schritte zur Lösung

y^{''} (t) - 14 y^{'} (t) + 85 y = 0

Solve linear ODE:

y = e^{7 t} (2 cos (6 t) - 3 sin (6 t))

y = e^{7 t} (2 cos (6 t) - 3 sin (6 t))

Graph

Beliebte Beispiele

x^{''}-2ax^'+a^2x=0

x^{^{''}} - 2 a x^{^{'}} + a^{2} x = 0

14y^{''}+3y^'-2y=0

14 y^{^{''}} + 3 y^{^{'}} - 2 y = 0

y^{''}+0.6y^'+8y=0

y^{^{''}} + 0.6 y^{^{'}} + 8 y = 0

64y^{''}+96y^'+36y=0,y(0)=1,y^'(0)=8

64 y^{^{''}} + 96 y^{^{'}} + 36 y = 0, y (0) = 1, y^{^{'}} (0) = 8

y^{''}+32/13 y^'+32y=0

y^{^{''}} + \frac{32}{13} y^{^{'}} + 32 y = 0