### Home > APCALC > Chapter 10 > Lesson 10.1.5 > Problem10-56

10-56.

Solve for $y$ if $\frac { d y } { d x } = \frac { x y } { \operatorname { ln } ( y ) }$. Homework Help ✎

$\frac{\ln(y)}{y}dy=x dx$

Integrate. To integrate the left side of the equation, use substitution. Let $u = \ln(y)$.

$\frac{1}{2}(\ln(y))^2=\frac{1}{2}x^2+C$

Solve for $y$.