i want to write the code for picewise polynomial :

if i take h=10 ,interval [0,1] takes the values j =0,0.1,0.2,     so on up to 1 and the polynomial it should take 

(x-xj+1)/0.1,when x<0.1,

(x-xj+2)/0.1  when x<0.2

..... 

(x-xj+9)/0.1   when x<1

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