Dear all

I tried to compute an integral using trapezoidal rule using two differents methods but I get two different results
trap.mw

Thank you for your help 

Dear all

I would like to sketch the solution of first ode, but by hand we can not get the solution. I used maple, to  solve the ode but unfortunattely there is no solution obtained so I can sketech the behavior of the solution. 

Is there any way to sketch the solution behavior .

sketch_solution.mw

thank you 

Dear all
Using cubic spline interpolation to interpolate a given function I get  
the follwoing error
Warning, solving for expressions other than names or functions is not recommended.
Error, (in solve) list of unknowns contains repeated elements: [1, 0]

and  why the  spline funciton obtained by this code is different to the one given by Maple's built in package.

inter.mw

Thank you for any help 

Dear all

I solve a given pde with some conditions given, but I get 

unable to handle PDE problem subject to boundary conditions 

solution_pdes.mw

many thanks for your help

Dear all

I would like to obtain an equivalent to this integral when n goes to infinity 

int( ((1-t^2)^n, t=0..1)

Many thanks