(a) (b) Use the improved Euler method to find the approximation of y(0.02) and u(0.02) in two steps. y' = -3y+u + 3 cost ,y(0) = 6 u'y 3u 2 cost - 3 sint,u(0) = -1 The boundary conditions for a Laplace equation uxx + Uyy = 0 in a rectangular homogeneous metal sheet are: u(x, 0) = 10 u(x, 10) = 20 ; 0 < x < 20; u(0,y) = 0 u(20,y) = 100; 0< y < 10 Use Ax = Ay=5, find approximate solution to the equations where u(x, y) represents the temperature at the internal mesh points.