GATE ME 2015 Set 1 — Question 38
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Engineering Mathematics → Differential Equations → Higher-Order Linear ODEs
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Question
Find the solution of which passes through the origin and the point .
Correct answer
(C) y = (1)/(2) (e^x - e^(-x))
Solution
The given differential equation is . The characteristic equation is , which gives .
The general solution is .
So, .
.
The general solution is .
1.Apply boundary condition at the origin :
.So, .
2.Apply boundary condition at :
..
3.Final solution:
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