91Ó°ÊÓ

Find a general solution. $\mathbf{y}\text{'}\text{'}\mathbf{+}\mathbf{2}\mathbf{y}\text{'}\mathbf{+}\mathbf{5}\mathbf{y}\mathbf{=}\mathbf{0}$

Find a general solution $\mathbf{y}\text{'}\text{'}\mathbf{-}\mathbf{3}\mathbf{y}\text{'}\mathbf{-}\mathbf{11}\mathbf{y}\mathbf{=}\mathbf{0}$

Find a general solution $\mathbf{y}\text{'}\text{'}\mathbf{+}\mathbf{10}\mathbf{y}\text{'}\mathbf{+}\mathbf{41}\mathbf{y}\mathbf{=}\mathbf{0}$

Find a general solution $\mathbf{y}\text{'}\text{'}\mathbf{-}y\text{'}\mathbf{+}\mathbf{7}\mathbf{y}\mathbf{=}\mathbf{0}$

Find a general solution.$\mathbf{2}\mathbf{y}"\mathbf{+}\mathbf{13}\mathbf{y}\text{'}\mathbf{-}\mathbf{7}\mathbf{y}\mathbf{=}\mathbf{0}$

Find a general solution $\mathbf{y}\text{'}\text{'}\text{'}\mathbf{+}\mathbf{y}\text{'}\text{'}\mathbf{+}\mathbf{3}\mathbf{y}\text{'}\mathbf{-}\mathbf{5}\mathbf{y}\mathbf{=}\mathbf{0}$

The auxiliary equation for the given differential equation has complex roots. Find a general solution $\mathbf{y}\mathbf{\text{'}}\mathbf{\text{'}}\mathbf{+}\mathbf{9}\mathbf{y}\mathbf{=}\mathbf{0}$.

Find a general solution.$\mathbf{y}\text{'}\text{'}\text{'}\mathbf{-}\mathbf{y}\text{'}\text{'}\mathbf{+}\mathbf{2}\mathbf{y}\mathbf{=}\mathbf{0}$

Solve the given initial value problem. $\mathbf{y}\text{'}\text{'}\mathbf{+}\mathbf{2}\mathbf{y}\text{'}\mathbf{+}\mathbf{2}\mathbf{y}\mathbf{=}\mathbf{0}\mathbf{;}\mathbf{y}\mathbf{\left(}\mathbf{0}\mathbf{\right)}\mathbf{=}\mathbf{2}\mathbf{,}\mathbf{y}\mathbf{\text{'}}\mathbf{\left(}\mathbf{0}\mathbf{\right)}\mathbf{=}\mathbf{1}$

The auxiliary equation for the given differential equation has complex roots. Find a general solution $\mathbf{y}\mathbf{\text{'}}\mathbf{\text{'}}\mathbf{+}\mathbf{y}\mathbf{=}\mathbf{0}$.