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MA6351 Transforms And Partial Differential Equations Question Bank - FMCET Edition

Question Bank  
Department of Mathematics
3rd Semester
MADURAI – 625 020, Tamilnadu, India
Regulation 2013

Unit-I Partial Differential Equations 
PART- A (2 marks)
1.Define PDE and Order of a PDE.

2.Form the PDE by eliminating the arbitrary constants a & b from z = (x2+b) (y2+b).
3. Obtain the PDE by eliminating the arbitrary constants a & b from (x-a)2 + (y-b)2 + z2 = 1
4. Form the PDE by eliminating the arbitrary constants a & b from (x-a)2 + (y-b)2 = z2 cot2 (alpha)
5. Form the PDE of all spheres whose centers lie on the x-axis.
6. Find the PDE of all planes having equal intercepts in the x & y axes.
7. Eliminate the arbitrary function f from z = f (xy/z) and form the PDE.

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