discuss

differential equation

In Problems 3–8 solve the given differential equation by using the substitution u = y’.
3. y” + ( y’)2 + 1 = 0 4. y” = 1 + ( y’)2
5. x2y” + ( y’)2 = 0 6. (y + 1)y” = ( y’)2

7. y” + 2y( y’)3 = 0 8. y2y” = y’