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Beliebt Rechnen >

24y^{''}+7y^'-5y=0

Lösung

24 y^{^{''}} + 7 y^{^{'}} - 5 y = 0

Lösung

y = c_{1} e^{\frac{t}{3}} + c_{2} e^{- \frac{5 t}{8}}

Schritte zur Lösung

24 y^{''} (t) + 7 y^{'} (t) - 5 y = 0

Solve linear ODE:

y = c_{1} e^{\frac{t}{3}} + c_{2} e^{- \frac{5 t}{8}}

y = c_{1} e^{\frac{t}{3}} + c_{2} e^{- \frac{5 t}{8}}

Graph

Beliebte Beispiele

2y^{''}+12y^'+18y=0

2 y^{^{''}} + 12 y^{^{'}} + 18 y = 0

y^{''}+2y^'+9y=0,y(0)=1,y^'(0)=0

y^{^{''}} + 2 y^{^{'}} + 9 y = 0, y (0) = 1, y^{^{'}} (0) = 0

3x^{''}-7x^'+4x=0

3 x^{^{''}} - 7 x^{^{'}} + 4 x = 0

y^{''}+4y^'-5y=0,y(ln(2))=3,y(0)=33

y^{^{''}} + 4 y^{^{'}} - 5 y = 0, y (ln (2)) = 3, y (0) = 33

y^{'''}-5y^{''}+5y^'+11y=0

y^{^{'''}} - 5 y^{^{''}} + 5 y^{^{'}} + 11 y = 0