A general solution of the PDE uux +yuy is of form y (a) f(u² - x², Y x+u (b) u ² = 8( x + u) y g = X = 0; where f: R² → R is C¹ and Vf ‡ (0,0) at anypoints + x² ; g = C(R) (c) f(u² + x²) = 0, f = C(R) (d) f(x + y) = 0, f = C(R)

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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A general solution of the PDE
uux + yuy = x
is of form
(a) f(u² - x²,
y
x + u
(b) u ² = 8√(x + u)
y
g
=
0; where f: R² → R is C¹ and Vf ‡ (0, 0) at anypoints
+ x² ; g = C(R)
E
(c) f(u²+x²) = 0, f = C(R)
(d) f(x + y) = 0, f = C(R)
Transcribed Image Text:A general solution of the PDE uux + yuy = x is of form (a) f(u² - x², y x + u (b) u ² = 8√(x + u) y g = 0; where f: R² → R is C¹ and Vf ‡ (0, 0) at anypoints + x² ; g = C(R) E (c) f(u²+x²) = 0, f = C(R) (d) f(x + y) = 0, f = C(R)
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