Matlab Project 2 1 Use matlab function ode45 to solve the rst order dierential equation dy dt = e0.1t cos(y2)y ln(1 + t) under the initial condition y(0) = 1.5 and plot its solution curve for 0 t 5. Also compute y(3.5). (compare the output with Project 1 using Euler approximation). 2 Use ode45 to solve the second order nonlinear dierential equation y(y)2 + sin(y) = et under the initial condition: y(0) = 2 and y(0) = 0.6, for 0 t 10. Plot both the solution and its derivative in the same graph window. You should submit the matlab codes for your program and function,the matlab run log showing the value x(3.5) in part 1, and the two plots. See the posted sample for more details.