MA8353 TPDE 2marks
Anna University Regulation 2017 CIVIL MA8353 TPDE 2marks & 16marks for all 5 units are provided below. MA8353 TPDE 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.
1. Form the PDE from (x-a)2+(y-b)2+z2=r2.
ANS
Given (x-a)2+(y-b)2+z2=r2.
Diff with respect to x,
2(x-a)+2z 0xz x( )a zp 0 x( )a zp
Diff with respect to y, 2(y-b)+2z 0yz y( )b zq0 y( )b zq
The pde is (-zp)2+(-zq)2+z2=r2→z2p2+z2q2+z2=r2
1. Eliminate the arbitrary function φ from the equation φ(x2+y2+z2,ax+by+cz)=0 to form a partial differential equation.
2. Eliminate the arbitrary function f and φ from the equation z=f(x+ct)+g(x-ct) to form a partial
differential equation.
3. Solve x(y-z)p+y(z-x)q=z(x-y).
4. Solve x(y2-z2)p+y(z2-x2)q=z(x2-y2).
5. Solve x2(y-z)p+y2(z-x)q=z2(x-y).
6. Solve (mz-ny)p+(nx-lz)q=(ly-mx).
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