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The equation of the differential equatio...

The equation of the differential equation `(dy)/(dy)=(x+y)/x` satisfying the condition `y(1)=1` is

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`y = vx`
`dy/dx = (x + vx)/x`
`= 1+v`
diff wrt x
`dy/dx = v + x(dv)/dx= 1+ v`
`x (dv)/(dx) = 1`
`int dv = int dx/x`
`v/x = ln x + c`
...
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