Q. 13

If sin x is an integrating factor of the differential equation dy/dx + Py = Q, then write the value of P.

Answer :

Since is a linear differential equation


Integrating factor = e∫ p dx = sin x (Given)


Taking log both sides we get,


log (e∫ p dx) = log (sin x)


∫ p dx log (e)= log (sin x)


∫ p dx = log (sin x) log (e) = 1


Differentiate w.r.t x we get,





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