The second order ordinary differential equation d²y/dt² +

Last updated: 8/26/2022

The second order ordinary differential equation d²y/dt² + 3dy/dt + 4Y=sin(t) is defined over the domain 0 ≤ ≤ 6, and is to be solved numerically subject to the initial conditions (0) = 0, dy(0)/dt = 4, where X is the exact solution. (1) Reduce the above second order ordinary differential equation to a system of first order ordinary differential equations.