UNIT II PDE
PART A
1. Find the PDE of the planes having equal intercepts on x & y axis
2. Form PDE by eliminating the arbitrary function from (z2-xy,x\z)=0
3. Form the PDE by eliminating a and b from z=(x2+a2)(y2+b2)
4. Find singular integral of the PDE z=px+qy+p2-q2.
5. Eliminate the arbitrary function f from z=f(xy\z)&form pde
6. Obtain PDE by eliminating arbitrary constants a&b from (x-a)2+(y-b)2+z2=1
7. Find the solution of px2+qy2= z2
8. Solve p2+q2=m2
9. Find the complete integral of p+q=pq
10. Find general solution of 4
2z
2z
2 z
-12
+9

=0
2 y
2x
xy
11. Solve (D2-3DD’+2D’2)Z =0
12. Solve
3z
3z
3z
3 z
-2
+4
+8
=0
3 y
 3 x x 2 y x y 2
PART B
1 (i) Form pde by eliminating f &  from z = f(y) +  (x+y+z)
(ii) Solve (D2-2DD’)z =e 2x +x3y
2 (i) Find the complete integral of p+q = x+y
(ii)Solve y2p – xyq = x(z-2y)
3
(i) Solve x(y-z) p+y(z-x)q =z(x-y)
(ii) (D3-7DD’2-6D’3)z= sin (x+2y)+e (2x+y)
4
(i) Solve (3z – 4y)p+(4x-2z)q= 2y-3x
(ii) Solve (D2+4DD’-5D’2)z=e 2x-y+sin(2x-y)
5
(i)Solve (y-z)p-(2x+y)q =2x+z
(ii)Solve z2=1+p2+q2
6
(i) Form the pde by eliminating the arbitrary functions f&g in z= x2f(y)+y2g(x)
(ii) Solve (D2-DD’-20D’2)z=e 5x+y+sin (4x-y)
7
(i) Find singular solution of z= px+qy+ 1+p2+q2
(ii)Solve (D2-DD’-30D’2)y = xy+e 6x+y
8
(i) Solve (y-xz)p+(yz-x)q =(x+y)(x-y)
(ii)Form pde by eliminating arbitrary function f & g from z = f(x3+2y)+g(x3-2y).