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The solution of the differential equation   is :

  • a)
    a log sec by + beax = c

  • b)
    a log (sec by + tan by) = beax + c

  • c)
    a log (sec by + tan by) + beax = c

  • d)
    a log sec by + beax + c

Correct answer is option 'B'. Can you explain this answer?
Verified Answer
The solution of the differential equation is :a)a log sec by + beax = ...
dy/dx = eax cos by 

∫dy/cos by = ∫eax dx

∫sec by dy = ∫eax dx

= (log| sec by + tan by|)/b = eax /a + c

= a(log| sec by + tan by|) = beax + c
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The solution of the differential equation is :a)a log sec by + beax = ...
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The solution of the differential equation is :a)a log sec by + beax = ...
dy/dx = eax cos by 
∫dy/cos by = ∫eax dx
∫sec by dy = ∫eax dx
= (log| sec by + tan by|)/b = eax /a + c
= a(log| sec by + tan by|) = beax + c
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The solution of the differential equation is :a)a log sec by + beax = cb)a log (sec by + tan by) =beax+ cc)a log (sec by + tan by) +beax = cd)a log sec by + beax+cCorrect answer is option 'B'. Can you explain this answer?
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