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Beliebt Rechnen >

y^{''}+81y=0,y(0)=3,y^'(0)=8

Lösung

y^{^{''}} + 81 y = 0, y (0) = 3, y^{^{'}} (0) = 8

Lösung

y = 3 cos (9 t) + \frac{8}{9} sin (9 t)

Schritte zur Lösung

y^{''} (t) + 81 y = 0

Solve linear ODE:

y = 3 cos (9 t) + \frac{8}{9} sin (9 t)

y = 3 cos (9 t) + \frac{8}{9} sin (9 t)

Graph

Beliebte Beispiele

14y^{''}-15y^'+y=0,y(0)=14,y^'(0)= 1/14

14 y^{^{''}} - 15 y^{^{'}} + y = 0, y (0) = 14, y^{^{'}} (0) = \frac{1}{14}

5y^{''}-7y^'-3y=0

5 y^{^{''}} - 7 y^{^{'}} - 3 y = 0

y^{''}-6y^'+18y=0,y(0)=0,y^'(0)=6

y^{^{''}} - 6 y^{^{'}} + 18 y = 0, y (0) = 0, y^{^{'}} (0) = 6

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

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

y^{''}+64/5 y^'+64y=0

y^{^{''}} + \frac{64}{5} y^{^{'}} + 64 y = 0