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from sympy import symbols, Function, Eq, dsolve
# Define the symbolic variables
x = symbols('x')
y = symbols('y', cls=Function)(x)
# Define the differential equation
diff_eq = Eq(y.diff(x, x) + 2*y.diff(x) + y, 0)
# Solve the differential equation and obtain the solution with steps
solution = dsolve(diff_eq, y, hint='all', simplify=False)
# Print the solution and the steps
for sol in solution:
print("Solution:")
print(sol)
print("Steps:")
print(sol.simplify())
print()
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import numpy as np
from scipy.integrate import odeint
# Define the differential equation
def differential_equation(y, t):
return 2 * y + 1
# Set initial condition
initial_condition = 0
# Set time points to solve the equation
time_points = np.linspace(0, 10, 100)
# Solve the differential equation
solution = odeint(differential_equation, initial_condition, time_points)
# Print the solution
print(solution)