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Beliebt Rechnen >

y^{''}-14y^'+50y=0,y(0)=10,y(pi/2)=3

Lösung

y^{^{''}} - 14 y^{^{'}} + 50 y = 0, y (0) = 10, y (\frac{π}{2}) = 3

Lösung

y = e^{7 t} (10 cos (t) + \frac{3}{e ^{\frac{7 π}{2}}} sin (t))

Schritte zur Lösung

y^{''} (t) - 14 y^{'} (t) + 50 y = 0

Solve linear ODE:

y = e^{7 t} (10 cos (t) + \frac{3}{e ^{\frac{7 π}{2}}} sin (t))

y = e^{7 t} (10 cos (t) + \frac{3}{e ^{\frac{7 π}{2}}} sin (t))

Graph

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