Question

Solve the differential equation `y - x dy/dx = 0`

Answer 1

∴

`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