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Beliebt Rechnen >

625y^{''}-9y=0,y(0)=9,y^'(0)=8

Lösung

625 y^{^{''}} - 9 y = 0, y (0) = 9, y^{^{'}} (0) = 8

Lösung

y = (9 + \frac{173}{6}) e^{\frac{3 t}{25}} - \frac{173}{6} e^{- \frac{3 t}{25}}

Schritte zur Lösung

625 y^{''} (t) - 9 y = 0

Solve linear ODE:

y = (9 + \frac{173}{6}) e^{\frac{3 t}{25}} - \frac{173}{6} e^{- \frac{3 t}{25}}

y = (9 + \frac{173}{6}) e^{\frac{3 t}{25}} - \frac{173}{6} e^{- \frac{3 t}{25}}

Graph

Beliebte Beispiele

5/8 (d^2x)/(dt^2)+40x=0

\frac{5}{8} \frac{d ^{2} x}{d t ^{2}} + 40 x = 0

y^{''''}-12y^{''}+36y=0

y^{^{''''}} - 12 y^{^{''}} + 36 y = 0

y^{''}+1y^'+0y=0

y^{^{''}} + 1 y^{^{'}} + 0 y = 0

y^{''}+k(1+k)y=0

y^{^{''}} + k (1 + k) y = 0

y^{''}+y^'-30y=0,y(0)=1,y^'(0)=38

y^{^{''}} + y^{^{'}} - 30 y = 0, y (0) = 1, y^{^{'}} (0) = 38