Need help with 1 and 4
1. Solve the following initial value problem:
y=1-yy0=0.
2. Solve the initial value problem
y-y-2y=0,y0=a,y0=2 Then find so that the solution approaches 0 as t -, co.
3. Solve the following initial value problem: y-2y'+5y=0,y/2=0,y/2=2. Sketch the graph of the solution and describe its bchavior for increasing t.
4. Consider the initial value problem for y = y(t), t 0: y'=1-yy0=-1. Show that there are infinitely many solutions to the above initial value problem