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Question
Solve the differential equation `y - x dy/dx = 0`
Sum
Solution
`y - x dy/dx` = 0
∴ `y = x dy/dx`
∴ `dx/x = dy/y`
Integrating on both sides, we get
`intdx/x = intdy/y`
∴ log |x| = log |y| + log |c|
∴ log |x| = log |cy|
∴ x = cy
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