(Solved): Find the value of b for which the differential equation (yey + x) dx + (bxey) dy = 0 3xy is ...

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.

Find the value of $b$ for which the differential equation $\left(y{e}^{3xy}+x\right)dx+\left(bx{e}^{3xy}\right)dy=0$ is exact, then solve it using that value of $b$. The differential equation is exact only when $b=$ . The general solution, in implicit form, is $\frac{x^2}{2}+\frac{2}{3}{e}^{3xy}=c,\text{ for any constant }c$ NOTE: Do not enter an arbitrary constant or any constant term.