Integration of exponential function

Hello,

I am trying to do the integration of the integral below. I am expecting help. Thanks!

Answer 1

[KSSV]

syms t y(x) 
f = y(x)*exp(-2*(t-x)) ;
int(f,x,0,t)

ans = 

[Dharma Khatiwada]

Thank you for quick response. The both variable x and t runs from 0 to 20 (say). For the value of x equal to 1, 4, 7 y(x) is equal to value 5 (say). y(x) is equal to 0 at other values of x. How do I insert this condition in above integral to calculate y(t)? Any advice is appreciated.

[RAJ ANAND]

If you got answer please share here.