**MA6351TPDE 2marks**

Anna University Regulation 2017 ECE **MA6351TPDE 2marks & 16marks** for all 5 units are provided below. **MA6351TPDE** **Short answers, Question Bank for TRANSFORMS AND PARTIAL DIFFERENTIAL EQUATIONS Engineering** are listed down for students to make perfect utilization and score maximum marks with our study materials.

MA6351TRANSFORMS AND PARTIAL DIFFERENTIAL EQUATIONS ENGINEERING QUESTION BANK UNIT-I 2-marks

Obtain partial differential equation by eliminating arbitrary constant ‘a’ and ‘b’ from (x–a) 2 +(y–b) 2 = z A.U May/June2013

Solution: Given (x–a)2 +(y–b)2 =z —–(1) Diff Partially w.r.t x and y 2(x–a) = p => x-a = p/2 2(y–b)=q => y–b= q/2 Substituting in (1), we get 2 2 pq z

Form the partial differential equation by eliminating the arbitrary constants ‘a’ & ‘b’ from z= (x2 +a)(y2 +b) A.U April/May 2011

Solution: Given z= (x2 +a)(y2 +b) —–(1) Diff partially w.r.t x and y x a 2y q y ,b 2x p q 2 x(y ),a y z p 2 y(x ),b x z 2 2 2 2 = + = + = = + ∂ ∂ = = + ∂ ∂ Substituting in (1) we get pq= 4xyz

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