ode = y(x).diff(x, 2) - 4*y(x).diff(x,1) + 3*y(x) - x* math.exp(x) ode_sol = sympy.dsolve(ode)

ode = y(x).diff(x, 2) - 4*y(x).diff(x,1) + 3*y(x) - x* math.exp(x)
ode_sol = sympy.dsolve(ode)

The given differential equation is `ode = y(x).diff(x, 2) - 4*y(x).diff(x,1) + 3*y(x) - x* math.exp(x)`. To solve this equation, we can use the `dsolve` function from the `sympy` library.

Here is the code to solve the differential equation:

import sympy

x = sympy.symbols('x')
y = sympy.Function('y')(x)

ode = y.diff(x, 2) - 4*y.diff(x,1) + 3*y - x* sympy.exp(x)
ode_sol = sympy.dsolve(ode)

print(ode_sol)

The `dsolve` function returns the general solution to the differential equation. You can print out `ode_sol` to see the solution.