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Beliebt Rechnen >

y^{''}+25y=0,y(0)=3,y^'(0)=1

Lösung

y^{^{''}} + 25 y = 0, y (0) = 3, y^{^{'}} (0) = 1

Lösung

y = 3 cos (5 t) + \frac{1}{5} sin (5 t)

Schritte zur Lösung

y^{''} (t) + 25 y = 0

Solve linear ODE:

y = 3 cos (5 t) + \frac{1}{5} sin (5 t)

y = 3 cos (5 t) + \frac{1}{5} sin (5 t)

Graph

Beliebte Beispiele

y^{''}+25y=0,y(0)=3,y^'(0)=2

y^{^{''}} + 25 y = 0, y (0) = 3, y^{^{'}} (0) = 2

y^{'''}+8y^{''}+21y^'+18y=0

y^{^{'''}} + 8 y^{^{''}} + 21 y^{^{'}} + 18 y = 0

y^{''}+y^'=0,y(0)=2,y^{''}(0)=1

y^{^{''}} + y^{^{'}} = 0, y (0) = 2, y^{^{''}} (0) = 1

22y^{''''}+61y^{''}+25y=0

22 y^{^{''''}} + 61 y^{^{''}} + 25 y = 0

y^{''}+5y^'+6y=0,y(0)=2,y^'(0)=5

y^{^{''}} + 5 y^{^{'}} + 6 y = 0, y (0) = 2, y^{^{'}} (0) = 5