GATE CE 2019 Set 2 — Question 38
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Engineering Mathematics → Ordinary Differential Equations → First-Order Linear Equations
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Question
An ordinary differential equation is given below.The solution for the above equation is
(Note: denotes a constant in the options)
(Note: denotes a constant in the options)
Correct answer
(D) y = K ln x
Solution
The given differential equation is:This is a first-order separable differential equation. Rearranging the terms to separate variables and :Integrating both sides:For the right-hand side, let , then :Taking the exponential of both sides:Thus, the correct option is (D).
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