Find the value of b for which the differential equation
(ye³y + x) dx + (bxe³y) dy = 0
3xy
is exact, then solve it using that value of b.
The differential equation is exact only when
b = 1
x²
2
+
2/3
3xy
The general solution, in implicit form, is
= c, for any constant c.
NOTE: Do not enter an arbitrary constant or any constant term.