Example 2.6.1

Check solution to the differential equation:

DSolve[{(2x+3)+(2y[x]-2)y'[x]==0},y[x],x]

Example 2.6.16

Check solution to the differential equation:

DSolve[{(y[x]* Exp[2x*y[x]]+x)+(x*Exp[2x*y[x]])y'[x]==0},y[x],x]