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Beliebt Rechnen >

625y^{''}-81y=0,y(0)=9,y^'(0)=6

Lösung

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

Lösung

y = (9 + \frac{23}{6}) e^{\frac{9 t}{25}} - \frac{23}{6} e^{- \frac{9 t}{25}}

Schritte zur Lösung

625 y^{''} (t) - 81 y = 0

Solve linear ODE:

y = (9 + \frac{23}{6}) e^{\frac{9 t}{25}} - \frac{23}{6} e^{- \frac{9 t}{25}}

y = (9 + \frac{23}{6}) e^{\frac{9 t}{25}} - \frac{23}{6} e^{- \frac{9 t}{25}}

Graph

Beliebte Beispiele

(D^3-D^2-4D+4)y=0

(D^{3} - D^{2} - 4 D + 4) y = 0

4y^{''}+16y^'+1/16 y=0

4 y^{^{''}} + 16 y^{^{'}} + \frac{1}{16} y = 0

y^{''}+5y^'+6y=0,y(0)=10,y^'(0)=0

y^{^{''}} + 5 y^{^{'}} + 6 y = 0, y (0) = 10, y^{^{'}} (0) = 0

y^{''}-4y=0,y(0)=6,y^'(0)=0

y^{^{''}} - 4 y = 0, y (0) = 6, y^{^{'}} (0) = 0

y^{''}+49y=0,y(0)=2,y^'(0)=1

y^{^{''}} + 49 y = 0, y (0) = 2, y^{^{'}} (0) = 1