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Beliebt Rechnen >

9y^{''}-30y^'-24y=0,y(0)=0,y^'(0)=1

Lösung

9 y^{^{''}} - 30 y^{^{'}} - 24 y = 0, y (0) = 0, y^{^{'}} (0) = 1

Lösung

y = \frac{3}{14} e^{4 t} - \frac{3}{14} e^{- \frac{2 t}{3}}

Schritte zur Lösung

9 y^{''} (t) - 30 y^{'} (t) - 24 y = 0

Solve linear ODE:

y = \frac{3}{14} e^{4 t} - \frac{3}{14} e^{- \frac{2 t}{3}}

y = \frac{3}{14} e^{4 t} - \frac{3}{14} e^{- \frac{2 t}{3}}

Graph

Beliebte Beispiele

(d^2y)/(dx^2)-7(dy)/(dx)+6y=0

\frac{d ^{2} y}{d x ^{2}} - 7 \frac{d y}{d x} + 6 y = 0

2y^{''}+5y^'-3y=0,y(0)=5,y^{''}(0)=13

2 y^{^{''}} + 5 y^{^{'}} - 3 y = 0, y (0) = 5, y^{^{''}} (0) = 13

x^{^{''}} + c x = 0

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

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

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

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