GATE ME 2014 Set 1 — Question 37
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Engineering Mathematics → Differential Equations → Initial & Boundary Value Problems
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Question
If is the solution of with the boundary conditions at , and at
Correct answer
34 to 36
Solution
Given the differential equation:Integrating once with respect to :Integrating again with respect to :Now, apply the given boundary conditions to find the constants and :
1.At , :
2.At , :
From the first integration step, , so:Substituting the values of and back into the general solution:To find the value of :The final answer is 35.Continue learning with Success Tracker
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