Please help and show all steps. Thanks

Consider the function u(x, t) = 3e sin (2x) - 4e 18 sin (3x) + 2x + 1 where OKEST, t >0 1 . Check that u satisfies the PDE = 2 at 2. Compute the boundary conditions: o u ( 0, t) = o un, t) = 3. Compute the initial condition oux, 0= 4. If it exists: compute the limit v(x) = lim u(x, t) and determine what PDE v(x) satisfies. t -too