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

Lösung

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

y = c_{1} e^{\frac{( 1 + 61 ) t}{6}} + c_{2} e^{\frac{( 1 - 61 ) t}{6}}

Schritte zur Lösung

3 y^{''} (t) - y^{'} (t) = 5 y

Solve linear ODE:

y = c_{1} e^{\frac{( 1 + 61 ) t}{6}} + c_{2} e^{\frac{( 1 - 61 ) t}{6}}

y = c_{1} e^{\frac{( 1 + 61 ) t}{6}} + c_{2} e^{\frac{( 1 - 61 ) t}{6}}