Book
Advanced Engineering Mathematics
Author
Erwin Kreyszig
Edition
8th Edition
x = var('x') y = function('y',x) # define y a function of x DE = x*diff(y,x) - y - 3*x^4*cos((y/x))^2 print 'DE:';show(DE) u = function('u',x) DE = DE.subs({y:x*u,diff(y,x):diff(x*u,x)}) # substituting y/x as u print 'DE substituted:';show(DE) soln = desolve(DE,u,ics=[1,0]) soln = soln.subs({u:y/x}) # getting soln back in terms of y and x only sol = solve(soln,y) print 'Solution:';show(sol)
Solution by:
- Prashant Agrawal, Student, IIT Bombay