# Plotting the behavior of the solution of six equations

I need plot the behavior of the solution of a system of six equation

In 2D I would use StreamPlot.

StreamPlot[{Tan[y - x], 2^y - 2 Cos[Pi/3 - x]}, {x, -4, 4}, {y, -4, 4}] and in 3d I would use Graphics3D.

Graphics3D[sp[] /. Arrow[z_]      Arrow[z /. {x_Real, y_Real} :> {Cos[x] Sin[y], Sin[y] Sin[x],  Cos[y]}], ImageSize -> 400];
Row[{sp, sp3d}, Spacer]


However, I have six equations. How can I plot the behavior of the solution in such a case?

Any system consists of than four equations and I can't use any one of them

• You may be stuck with numerically solving the system and plotting the results of each equation independently as even 3D Streamplot are extremely difficult, and I am not sure you can do more dimensions than that. – Moo May 6 at 16:13
• @Awatif Can you explain what your problem is? Write down 6 equations and what you want to draw. – Alex Trounev May 6 at 20:02
• dx1 / dt = Vh -k1x1x6-k2x1x6-d1x1 ، dx2 / dt = k1x1x6 + k2x1x6- (d1 + r) x2 ، dx3 / dt = rx2- (d1 + r) x2 ، dx4 / dt = Vn-mx4 ، dx5 / dt = mx4x3- (d2 + l) x5 ، dx6 / dt = lx5-d2x6. x1 (0) = 1 ، x2 (0) = 0.38 ، x3 (0) = 0.02 ، x4 (0) = 3.5 ، x5 (0) = 0.12 ، x6 (0) = 0.24 I want plot Direction of Solution – Awatif May 11 at 21:49