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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