GATE ME 2018 Set 2 — Question 14
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Engineering Mathematics → Differential Equations → First-Order Equations
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Question
If is the solution of the differential equation , , the value of is
Correct answer
(C) 0
Solution
The given differential equation is:
Integrating both sides:
Given the initial condition :
So the solution is .
To find :
Therefore, .
Integrating both sides:
Given the initial condition :
So the solution is .
To find :
Therefore, .
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