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Find the General Solution of the Differential Equation Dybydx -y = Sin X - Mathematics

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प्रश्न

Find the general solution of the differential equation `dy/dx - y = sin x`

उत्तर

The given differential equation is

`dy/dx - y = sin x` .....(1)

Clearly, it is a linear differential equation of the form `dy/dx + Py=Q`

Here

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where P = `square` and Q = `square`

∴ I.F. = `"e"^(int-"d"x)` = e–x

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