MA6351 Transforms And Partial Differential Equations Question Bank - FMCET Edition

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    MA6351-TRANSFORMS AND PARTIAL DIFFERENTIAL EQUATIONS 
    Question Bank  
    Department of Mathematics
    3rd Semester
    FATIMA MICHAEL COLLEGE OF ENGINEERING & TECHNOLOGY
    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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