1. ## boundary value problem

hi, i cannot seem to start off this question.

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

2. Originally Posted by zen-x
hi, i cannot seem to start off this question.

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 $9y''-18y'+10y = 0, \ y(0) =0, \ y(n) = 1$. This is a homogeneous, second order, constant coefficient DE. Look at the characteristic equation: $9 \lambda^{2}-18 \lambda+10 = 0$ (e.g. put $y = e^{\lambda x}$).