i tried to find the roots of the equation then i have to find the derivatives with respect to x and y to be able to draw them
solve ('z^4+z^2*UINF^2*(x^2-y^2+a^2)-(UINF^4*x^2*y^2)=0','z')
ans =
1/2*(2*(x^4+2*x^2*y^2+2*x^2*a^2+y^4-2*y^2*a^2+a^4)^(1/2)-2*x^2+2*y^2-2*a^2)^(1/2)*UINF...
ψ4 + ψ2 U2(x2-y2+a2) = U4x2y2
This is the stream line equation of a flow along a vertical plate!
i need to plot the stream lines using matlab! ψ is the stream function
U is constant and 'a' is the plate length