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प्रश्न
Write the integrating factor (I.F.) of the differential equation `(dy)/(dx) + y = e^-x`.
बेरीज
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उत्तर
Given: `(dy)/(dx) + y + e^-x`
This is a linear differential equation of the form:
`(dy)/(dx) + P(x)y = Q(x)`
Here, P(x) = 1
Integrating Factor (I.F.) formula:
I.F. = `e^(intP(x)dx) = e^(int1dx) = e^x`
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