Answer
$y=\frac{\sqrt C\sqrt[6] {x^2+1}}{\sqrt[4] x}$
Work Step by Step
Step 1. Isolate $ln(y)$ to get $ln(y)=-\frac{1}{4}ln(x)+\frac{1}{6}(x^2+1)+\frac{1}{2}lnC$
Step 2. Combine the right side to get $ln(y)=ln\frac{\sqrt C\sqrt[6] {x^2+1}}{\sqrt[4] x}$
Step 3. Thus $y=\frac{\sqrt C\sqrt[6] {x^2+1}}{\sqrt[4] x}$
