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Beliebt Rechnen >

6y^{''}+4y^'-y=25

Lösung

6 y^{^{''}} + 4 y^{^{'}} - y = 25

Lösung

y = c_{1} e^{\frac{( - 2 + 10 ) t}{6}} + c_{2} e^{- \frac{( 2 + 10 ) t}{6}} - 25

Schritte zur Lösung

6 y^{''} (t) + 4 y^{'} (t) - y = 25

Solve linear ODE:

y = c_{1} e^{\frac{( - 2 + 10 ) t}{6}} + c_{2} e^{- \frac{( 2 + 10 ) t}{6}} - 25

y = c_{1} e^{\frac{( - 2 + 10 ) t}{6}} + c_{2} e^{- \frac{( 2 + 10 ) t}{6}} - 25

Graph

Beliebte Beispiele

10000x^{''}+1000x^'+22x-60000=0

10000 x^{^{''}} + 1000 x^{^{'}} + 22 x - 60000 = 0

y^{''}+3y^'+6*x=0

y^{^{''}} + 3 y^{^{'}} + 6 \cdot x = 0

y^{''}-8y^'+12y=2x(e^{2x}-e^{-2x})

y^{^{''}} - 8 y^{^{'}} + 12 y = 2 x (e^{2 x} - e^{- 2 x})

4q^{''}+8q^'+80q=88t

4 q^{^{''}} + 8 q^{^{'}} + 80 q = 88 t

3y^{''}-8y^'-3y=5

3 y^{^{''}} - 8 y^{^{'}} - 3 y = 5