GATE ME 2017 Set 1 — Question 3
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Engineering Mathematics → Differential Equations → First-Order Equations
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Question
Consider the following partial differential equation for with the constant :Solution of this equation is
Correct answer
(B) u(x, y) = f(x - cy)
Solution
This is a first-order linear partial differential equation. Using the method of characteristics:From the first two terms:Integrating both sides:From the third term:The general solution is of the form : where is an arbitrary function.
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