(1.1) Find a general solution to the following partial differential equation (pg +p+q+1) (pr + qy – u) = V1+p/4+ q? where u = u(x, y), p u, and q= uy. (Hint: you may use Charpit's method and write the given equation as a Clairaut's equation)

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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plz solve only 1.1 within 30-40 mins I'll give you multiple upvote
(1.1) Find a general solution to the following partial differential equation
(pg +p+q+1) (pr + qy – u) = V1+ p V4 +q2
where u=u(x, y), p u and q= Uy.
(Hint: you may use Charpit's method and write the given equation as a Clairaut's equation)
(1.2) Find a complementary solution to the following PDE:
Uz + 3uay - 10yy = 6u – u, - 19u, + cos(a- 2y) - 2+3 + 2,
Transcribed Image Text:(1.1) Find a general solution to the following partial differential equation (pg +p+q+1) (pr + qy – u) = V1+ p V4 +q2 where u=u(x, y), p u and q= Uy. (Hint: you may use Charpit's method and write the given equation as a Clairaut's equation) (1.2) Find a complementary solution to the following PDE: Uz + 3uay - 10yy = 6u – u, - 19u, + cos(a- 2y) - 2+3 + 2,
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