Problem 1
The symbolic function A(x,y) is defined as:
$$A(x, y) = \sin(x * y) + \cos(x * y)$$
(i) Use the graphical function "ezsurf" to plot the function A(x,y).
(ii) Use the graphical function "ezcontour" to plot the contours of the function A(x,y).
Take (x,y) within the interval [-5,5].
Problem 2
Using the symbolic language of MATLAB, solve the following differential equation:
$$\frac{d^2y}{dx^2} + x \frac{dy}{dx} + y = 0$$
The initial conditions are y(0) = 1, and $\frac{dy}{dx}(0) = 1/2$. Plot the solution for-100 ≤ t ≤ 100.
PROVIDE ALL MATLAB PROGRAMS FOR THE TWO PROBLEMS AND ALL THEIR SOLUTIONS IN ONE
SINGLE MS WORD FILE.