Problem 4.6 A velocity field is given in Lagrangian form by v =2t+X1, v2 = X2et, v3 = X3-t. Integrate these equations to obtain x = x(x,t) with x = X at t = 0, and using that result compute the velocity and acceleration components in the Eulerian (spatial) form. Plot the vector fields. Answer vi (x1+2t+t)/(1+t) = V = x2 v3 (2x3 2t t)/2(1+t) = - a = 2, a2 = x2, a3 = -1