MATLAB ASSIGNMENT 1. Use dsolve to find a general solution ofെ ൅ ൌ 2. a) Use quiver to create a clear slope field for the differential equation ൌ ሺሻ ൅ ሺሻ in the window [0 2 0 2] b) Plot the solutions of ൌ ሺሻ ൅ ሺሻ for ሺሻ ൌ . , ሺሻ ൌ . , ሺሻ ൌ . , ሺሻ ൌ 3. Use the Euler’s method to plot a solution of ൌ െ ൅ ሺሻ ൌ on the interval ሾ, ሿ ∆ ൌ. 4. a) Plot a vector field of the system ൌ ሺ ൅ െ ሻ ൌ െሺ ൅ െ ሻ in a window [-2 2 -2 2] b) Plot the graphs of the solutions of the above system with initial conditions ሺሻ ൌ. , ሺሻ ൌ. ; ሺሻ ൌ. , ሺሻ ൌ. ሺሻ ൌ . , ሺሻ ൌ . ; ሺሻ ൌ . , ሺሻ ൌ . ATUL N ROY 2 5. Find an approximate solution of ൅ ሺሻ ൅ൌ , ሺሻ ൌ , ′ሺሻ ൌ െ with a polynomial of degree 4 in �