how do i use fsolve to solve a stream function ?

I have a stream function and am asked to solve it numerically to
calculate velocity at the x and y co-ordinates and then plot the pressure
co-efficient on a rankin oval. But am unsure of how to use the fsolve function to
solve the stream function .
the code i have so far:
syms U0 x y real
psi = U0*y + 4/2/pi * atan2(y, x+1) - 4/2/pi * atan2 (y, x-1);
v=-diff(psi, x)
u=diff(psi, y)
U0=1
x=-3:0.01:3;
y=-3:0.01:3;
u=eval(u)
v=eval(v)
any help is appreciated.

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Can you shows the mathematical form of the equation?
Why you need to "solve" the stream function since it is already there? There's nothing to solve. Most likely what was meant was discretize/numeric calculate it, and your code seems fine so far.
Ive added the full question to make it clear what im trying to achieve.
ive added the following to get the velocity magnitude after calculating u and v.
Z=sqrt(u.^2 + v.^2)
then after this i have to calculate pressure and the pressure co-efficient on the surface of the rankin oval using bernoullis equation.

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2020년 3월 29일

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2020년 3월 29일

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