(Part 1) Numerical Analysis of Intial Value Problems (SOpts) We looked at numerical solutions to Initial 1value Problems. IVP's consist ofan ordinary differential equation with an initial condition. We learned this mathematical model helps us simulate a system's evolution over time. We also learned that numerical solutions are only approximations to symbolic {analytical} solutions. To compare the error we solved for the exact solution and compared the results to the numerical solution results. Let's look at a first order IVP: [[11 En} ?z_ y 5 * e? *sin(5x) -|- 567 * C0561\") Where the initial condition for this ODE is defined byyfj=0 {a} Solve for the exact symbolic {analytical} solution. (Hint: take the integral. - use wolfrom alpha}