If xdy/dx=y( y- x+1) , then the solution of the equation is
In easy words, complete solution: write formula, plug data, do arithmetic. Final value matches y/x=Cx. Simple and accurate.
Ref: NCERT Mathematics Class XII — Integrals
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Find the general solution of the differential equation ydx = ( y - x )dy
Applying the basic concept, solving fully: apply relevant formula, put numbers, compute. Result comes as x = y/2 + c/y. Easy verification shows it satisfies condition.
Ref: NCERT Mathematics Class XII — Differential Equations
