sympy解微分方程

1.计算目的

1.求解微分方程dy/dx=ky

2.编写程序

from sympy import *

x = Symbol('x')

k = Symbol('k')

y = Function('y')

g = diff(y(x),x) - k*y(x)

print dsolve(g, y(x))

3.运行程序

python dsolve-test.py

4.运行结果

Eq(y(x), C1*exp(k*x))   #即y(x) = C1*exp(k*x)