||'''Book'''|| Advanced Engineering Mathematics || ||'''Author'''|| Erwin Kreyszig || ||'''Edition'''|| 8th Edition || /* code_begins */ {{{ reset() x = var('x') y = function('y',x) # define y a function of x DE = diff(y,x)-(y +4*x)*(y+4*x) print 'DE:';show(DE) u = function('u',x) DE = DE.subs({y:u-4*x,diff(y,x):diff(u-4*x,x)}) # substituting y/x as u soln = desolve(DE,u) soln = soln.simplify_full() print 'Solution:';show(soln) }}} /* code_ends */ * '''Solution by''': * , , * , ,