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Beliebt Rechnen >

5y^{''}-13y^'-6y=0

Lösung

5 y^{^{''}} - 13 y^{^{'}} - 6 y = 0

Lösung

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

Schritte zur Lösung

5 y^{''} (t) - 13 y^{'} (t) - 6 y = 0

Solve linear ODE:

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

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

Graph

Beliebte Beispiele

y^{^{''}} + 48 y^{^{'}} = 0

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

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

6y^{''}-17y^'+12y=0

6 y^{^{''}} - 17 y^{^{'}} + 12 y = 0

4y^{''}+4sqrt(3)y^'+3y=0

4 y^{^{''}} + 43 y^{^{'}} + 3 y = 0

(y^{'''})-4y^{''}-5y^'=0

(y^{^{'''}}) - 4 y^{^{''}} - 5 y^{^{'}} = 0