$\"\"$ \ \

The differential equation is $\"\"$ and the boundary conditions are $\"\"$ .

The auxiliary equation is $\"\"$ .

Find the roots of the auxiliary equation.

$\"\"$

The roots of the auxiliary equation $\"\"$ .

The general solution is $\"\"$ .

$\"\"$

Substitute the boundary condition $\"\"$ in equation (1)

$\"\"$

Substitute the boundary condition $\"\"$ in equation (1)

$\"\"$

Since $\"\"$ is can not be determined, the differential equation $\"\"$ has no solution.

$\"\"$

The differential equation $\"\"$ has no solution.