python 微积分计算

from sympy import *
t = Symbol('t')
x = Symbol('x')
m = integrate(sin(t)/(pi-t),(t,0,x))
n = integrate(m,(x,0,pi))
print n

dsolve(eq, f(x))

>>> from sympy import *
>>> f = Function('f')
>>> x = Symbol('x')
>>> pprint(2*x-diff(f(x),x))
      d
2*x - --(f(x))
      dx
>>> dsolve(2*x - diff(f(x),x), f(x))
#result
#Eq(f(x), C1 + x**2)

dsolve(diff(f(x),x) - 2*f(x)*x, f(x))

Eq(f(x), C1*exp(x**2))

#即f(x) = C1*exp(x**2)

from sympy import *
f = Function('f')
x = Symbol('x')
print dsolve(diff(f(x),x) - 2*f(x)*x,f(x))