GATE ME 2017 Set 2 — Question 27
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Engineering Mathematics → Differential Equations → Higher-Order Linear ODEs
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Question
Consider the differential equation with initial conditions and . The value of at is ________
Correct answer
93 to 95
Solution
The differential equation is , which simplifies to .
The characteristic equation is , giving roots .
The general solution is:Applying initial conditions:
1) .
So, .
2) .
.
The specific solution is .
At :Note that 3 is in radians. .
The characteristic equation is , giving roots .
The general solution is:Applying initial conditions:
1) .
So, .
2) .
.
The specific solution is .
At :Note that 3 is in radians. .
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