• Book	Advanced Engineering Mathematics
  Author	Erwin Kreyszig
  Edition	8th Edition

code_begins

x = var('x')    # define a variable x
y = function('y',x)   # define x to be a function of that variable
DE = exp(x)*diff(y,x) == 2*(x+1)*y^2
print 'Differential Equation:'
show(DE)
soln = desolve(DE, [y,x])
print 'Solution:'
show(soln)

print 'Explicit solution:'
soln.solve(y)

c = solve(soln.solve(y)[0].rhs().subs(x=0)==1/6,soln.variables()[0])
print 'Integration constant:'
show(c)

print 'Explicit solution:'
soln.solve(y)[0].subs(c=c[0].rhs())

code_ends

• Solution by:

  • Pankaj Pandey, Student, IIT Bombay