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The solution of the differential equation

subject to the boundary conditions y(0) = 1 and y(∞) = 0, is
  • a)
    cos t + sin t
  • b)
    cosh t + sinh t
  • c)
    cos t - sin t
  • d)
    cosh t - sinh t
Correct answer is option 'D'. Can you explain this answer?
Verified Answer
The solution of the differential equationsubject to the boundary condi...
The differential equation

according to boundary conditions; y(0) = 1

equation 3 will be satisfy if or only if 

 {adding and subtracting e1/2}
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The solution of the differential equationsubject to the boundary conditions y(0) = 1 and y(∞) = 0, isa)cos t + sin tb)cosh t + sinh tc)cos t - sin td)cosh t - sinh tCorrect answer is option 'D'. Can you explain this answer?
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