Solve the boundary value problem for (9*y")-(18*y')+(10*y)=0, y(0)=0, y(π)=1, if its possible. If there is no solution, explain why not.
Thanks heaps
So $\displaystyle 9y''-18y'+10y = 0, \ y(0) =0, \ y(n) = 1 $. This is a homogeneous, second order, constant coefficient DE. Look at the characteristic equation: $\displaystyle 9 \lambda^{2}-18 \lambda+10 = 0 $ (e.g. put $\displaystyle y = e^{\lambda x} $).