2. Consider the first-order linear partial differential equation (2x+y) ux + 2y uy = x, x ≤ R, y > 1. (1) (a) Determine function ƒ(y) for which the function & = xy¯¹ + ƒ(y) is a first integral of the characteristic equations.

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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2. Consider the first-order linear partial differential equation
(2x+y) ux + 2y uy = x, x ≤ R, y > 1.
(1)
(a) Determine function ƒ(y) for which the function & = xy¯¹ + ƒ(y) is a first integral
of the characteristic equations.
Transcribed Image Text:2. Consider the first-order linear partial differential equation (2x+y) ux + 2y uy = x, x ≤ R, y > 1. (1) (a) Determine function ƒ(y) for which the function & = xy¯¹ + ƒ(y) is a first integral of the characteristic equations.
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