Code:
syms x(t) a
differential_equation = diff(x,t) == a*x
initial_condition = x(0) == 1
complete_systems = [differential_equation, initial_condition]
solved_dynamical_system = dsolve(differential_equation)
solved_complete_systems = dsolve(complete_systems)Output:
solved_dynamical_system =
C1*exp(a*t)
solved_complete_systems =
exp(a*t)