This is about aesthetic matter,
I want to make
print(ivp_vt) shown like when I type ivp_vt, but the problem is if I type print(ivp_vt) there is this bugging Eq at front and the format becomes ugly as well, the fraction should be in two rows instead of just one.
What is the command besides print() that can make me print:
ivp_vt
ivp_wt
when running one Julia code in REPL to show beautifully?
this is the code:
using SymPy, Plots
@syms t, g, r, A, u
@syms v()
@syms w()
# Computing IVP with SymPy
diffeqv = Eq(v(t).diff(t), -r*v(t)); string(diffeqv)
diffeqw = Eq(w(t).diff(t), -g -r*w(t)); string(diffeqw)
# To solve the ODE, pass it and the function to solve with dsolve.
vt = dsolve(diffeqv, v(t))
wt = dsolve(diffeqw, w(t))
sol_vt = rhs(vt)
sol_wt = rhs(wt)
# To solve the Initial Value Problem, initial condition v(0) = u cos (A)
ivp_vt = dsolve(diffeqv, v(t), ics = Dict(v(0) => u*cos(A) ))
ivp_wt = dsolve(diffeqw, w(t), ics = Dict(w(0) => u*sin(A) ))
# Manual way
# Find the constant C₁
c1 = free_symbols(vt)[1]
# To solve the Initial Value Problem, initial condition v(0) = u cos (A)
C1 = solve(sol_vt(t=>0) ~ u*cos(A), c1)
#ivp_vt = sol_vt(c1=>C1[1])
println("Modeling with First Order Equations with Julia")
println("A baseball is thrown with the initial speed of u and initial angle of elevation is A")
println("v(t) is the horizontal component of the velocity of the thrown baseball")
println("w(t) is the vertical component of the velocity of the thrown baseball")
println("x(t) is the horizontal coordinate of the thrown baseball at time t")
println("y(t) is the vertical coordinate of the thrown baseball at time t")
println("")
println("The horizontal component of the velocity of a thrown baseball : ")
print(ivp_vt)
print(ivp_wt)
