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Let y(x) = v(x) secx, be the solution of initial value problem,
y" - 2y tanx + 5y = 0 with y(0) = o ,
then 
is equal to_______.
then is equal to_______.Correct answer is '1'. Can you explain this answer?
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Verified Answer
Let y(x) = v(x) secx, be the solution of initial value problem,y"...
Given y(x) = v(x) secx be soln, so it must satisfied the given DE.
⇒ y' = V' sec x + v sec x tanx
y” = v” secx + 2v' secx tanx + v [secx tan2x + sec3x]
Put these values in given DE, we have,
v” secx + 2v' secx tanx + v [secx tan2x + sec3x]
- 2 tanx [v' secx + v secx tanx] + 5 v secx = 0
v” secx + v [sec3x - secx tan2x + 5secx] = 0
⇒ v” + v [sec2x - tan2x + 5] = 0
⇒ v" + 6v = 0
Most Upvoted Answer
Let y(x) = v(x) secx, be the solution of initial value problem,y"...
Given y(x) = v(x) secx be soln, so it must satisfied the given DE.
⇒ y' = V' sec x + v sec x tanx
y” = v” secx + 2v' secx tanx + v [secx tan2x + sec3x]
Put these values in given DE, we have,
v” secx + 2v' secx tanx + v [secx tan2x + sec3x]
- 2 tanx [v' secx + v secx tanx] + 5 v secx = 0
v” secx + v [sec3x - secx tan2x + 5secx] = 0
⇒ v” + v [sec2x - tan2x + 5] = 0
⇒ v" + 6v = 0
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Let y(x) = v(x) secx, be the solution of initial value problem,y" - 2y tanx + 5y = 0 with y(0) = o ,thenis equal to_______.Correct answer is '1'. Can you explain this answer?
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