Is there any physical significance of laplace transform? 

solve (x^2y"-xy'+y=(x^2+1) using laplace transforms
Please show all your work, and do not use eulers technique once the first Laplace transform has been applied, as that is not what I am curious about. However if it is not possible to solve this particular ODE using only Laplace transforms in combination with other ODE solving techniques (once the Laplace transform has been applied). Then please let me know

18. Confidence intervals and two-sided significance tests are linked in the sense that a two-sided test at a significance level a can be carried in the form of a confidence interval with confidence level 1-a. A) True B) False

19. The results obtained from a test of significance can always be trusted as long as you use a random sample. A) True B) False