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Linear differental equation of the form ...

Linear differental equation of the form `dy/dx + Py = Q` where P, Q are functions of x or costants and the coefficient of `dy/dx = 1`. Taking `e^(int P dx)` as Integrating factor the above form reduces to `d/dx(ye^(int Pdx))= Qe ^(intPdx).`
Solution of the equation `cos t dx/dt + x sin t = 1` is -

A

`x = csin t + cos t`

B

`x+ c + sint+ cos t`

C

`x + sin t + c cos t `

D

none of these

Text Solution

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The correct Answer is:
C
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