Hellow,

how to write the codes for linear Lagranges piecewise polynomial in the interval x=[0,1] by taking h=0.1. 

if we fix h=0.1 automatically it should take the polynomial like these sample

x<0.1,(x-1)/0.2,x<0.2,(x^2-3x)/0.2,..... so on

Dear sir,

I want to plot the graph of Differential Equation numerically and other equation by changing the parameter values beta=2,2.5,5 . i am writing an sample codes and graph. the range of x is 0,..0.1

Eq1:=diff(y(x), x, x)+beta*y(x) = 0, y(1) = sin(1), (D(y))(1) = cos(1):
Eq2:=y=beta*e^x+sin(2*x)+x^2:

Hellow , Any body can help me to write the codes for the differential equation to solve by Galerkin finite element method by four elements by taking step size h=pi/2 and compare with homotropy method by plotting the graph of Galerkin method, homotropy method and exact, here is my codes

ode := diff(y(x), x, x) + y(x)-1=0:
ics := y(0) = 0, y(2*pi) = 0:
dsolve({ics, ode}):
 

hai sir, can we get a line style of the plot given in sample in maple plot with legends also like that

Dear sir, can we get a plot of graph with line style like  line+symbol so on.. 

I am attaching codes and sample graph .

h:=z->1-(delta2/2)*(1 + cos(2*(Pi/L1)*(z - d1 - L1))):
K1:=(4/h(z)^4)-(sin(alpha)/F)-h(z)^2+Nb*h(z)^4:
lambda:=(F,Nb,delta2)->Int(K1,z=0..1):

L1:=0.2:
d1:=0.2:
alpha:=Pi/6:
A:=plot( [seq(seq(lambda(F,Nb,delta2), Nb=[0.1,0.2,0.3]), F=[0.1,0.2,0.5])],
          delta2=0.02..0.1, linestyle = [solid,longdash,dashdot],'
          thickness = 2',color=[red$3,blue$3,black$3],
          legend=["Nb=0.1","Nb=0.2","Nb=0.3",""$6]):
B:=plots:-textplot([[0.05,-1,F=0.1],[0.05,1.5,F=0.2], [0.05,3,F=0.5]], font=[times, 14]):

plots:-display(A, B);