Solve the differential equation `x(dy)/(dx)+y=xcosx+sinx ,` given `y(pi/2)=1`

Explanation

`dy/dx+y/x=cosx+sinx/x`

`dy/dx+yP(x)=q(x)`

`P(x)=1/x`

`q(x)=cosx+sinx/x`

IF=`e^(intPdx)`

IF=x

`y*IF=intq(x)IFdx+C`

`yx=int(cosx+sinx/x)x+C`

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