# KTU Important Probability Distributions,Transforms And Numerical Methods S4 Question Papers [ PDTM ] MA202 | Question Bank

**KTU Important Probability Distributions,Transforms And Numerical Methods S4 Question Papers**

__Modules III and IV__23) Find the Fourier cosine and Fourier sine integral representation of

24) Prove the Linearity property of Fourier transform.

25) Prove that

26) Find the Fourier Transform of Unit Step function.

27) Find the Fourier Transform of Unit impulse function.

28) Find the inverse Fourier Transform of

29) Prove that

30) Prove that

31) Prove that

32) State and prove the Linearity property of Laplace transform

33) State and prove first shifting theorem of Laplace Transform.

34) Find the Laplace Transform of the following

35) Find the inverse Laplace Transform of the following

36) Using Laplace transform solve the IVP

37)Find the Inverse Laplace Transform of ln

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