InterviewSolution
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InterviewSolution
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Find the general solution of the linear differential equation `(x+y) dy/dx=1.` |
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Answer» Correct Answer - ` (x+ y + 1 )e ^(-y) =C ` ` ( x+ y ) (dy)/(dx) = 1 rArr (dx)/(dy) = x + y ` `therefore (dx)/(dy) - x = y ` ` IF = e ^(-int dy ) = e ^(-y)`. ` therefore x xx e ^(-y) = int underset ("I")y underset ("II") e ^(-y) dy+C`. |
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