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Beliebt Rechnen >

y^{''}-10y^'+50y=0,y(0)=1,y^'(0)=25

Lösung

y^{^{''}} - 10 y^{^{'}} + 50 y = 0, y (0) = 1, y^{^{'}} (0) = 25

Lösung

y = e^{5 t} (cos (5 t) + 4 sin (5 t))

Schritte zur Lösung

y^{''} (t) - 10 y^{'} (t) + 50 y = 0

Solve linear ODE:

y = e^{5 t} (cos (5 t) + 4 sin (5 t))

y = e^{5 t} (cos (5 t) + 4 sin (5 t))

Graph

Beliebte Beispiele

2500y^{''}-81y=0,y(0)=9,y^'(0)=6

2500 y^{^{''}} - 81 y = 0, y (0) = 9, y^{^{'}} (0) = 6

y^{''}+36y=0,y(0)=5,y^'(0)=12

y^{^{''}} + 36 y = 0, y (0) = 5, y^{^{'}} (0) = 12

y^{''}+3y^'+6y=0,y(0)=0,y^'(0)=1

y^{^{''}} + 3 y^{^{'}} + 6 y = 0, y (0) = 0, y^{^{'}} (0) = 1

4y^{''}+20y^'+25y=0,y(0)=1

4 y^{^{''}} + 20 y^{^{'}} + 25 y = 0, y (0) = 1

y^{''}+0.5y^'+y=0

y^{^{''}} + 0.5 y^{^{'}} + y = 0