Need matlab code and plots for problem $2$

Problem $1$

Consider the following unsteady velocity field:

$V_1=5e^{-x_2}cos(t-10x_2)$

$V_2=1$

$1-$ Derive the equation of the streamline that passes through $(hat(x{)}_1,$hat$(x{)}_2)$ at time hat$(t)$

$2-$ Derive the equation of the pathline for the particle that passes through $(hat(x{)}_1,$hat$(x{)}_2)$ at

time hat$(t)$

$3-$ Derive an equation for the streakline released from $(hat(x{)}_1,$hat$(x{)}_2)$ when the line is plotted at

time hat$(t)$

Problem $2$

Using Matlab and the parametric form of the equations obtained in problem $1$:

$1-$ Plot the streamlines of $5$ particles initially equally spaced in the region