Find the finite-difference solution of the heat-conduction
problem
PDE: ut = uxx 0 < x < 1, 0 < t < 1
BCs:
⇢
u(0, t) = 0
ux(1, t) = 0
0 < t < 1
IC: u(x, 0) = sin(pi x) 0 x 1
for t = 0.005, 0.010, 0.015 by the explicit method. Assume
Consider the boundary value problem X ′′ +λX=0 , X ′ (0)=0 ,
X′(π)=0 . Find all real values of λ for which there is a
non-trivial solution of the problem and find the corresponding
solution.
Find the solution of the given initial value problem.
ty′+2y=sin(t), y(π/2)=7, t>0
Enclose arguments of functions, numerators, and denominators in
parentheses. For example, sin(2x) or (a−b)/(1+n).