Example 2.9.36

Check solution to the differential equation:

sol=DSolve[{t^2*y''[t]+2t*y'[t]-1==0},y[t],t]

Example 2.9.42

Check solution to the differential equation:

sol=DSolve[{y[t]*y''[t]+(y'[t])^2==0},y[t],t]