$(1$ point$)$ Given the following differential equation

$(x^2+6y^2)\frac{dx}{dy}=5xy$

$(a)$ The coefficient functions are $M(x,y)=x^2+6y^2$ and $N(x,y)=$

$(Please$ input values for both boxes.$)$

$(b)$ The separable equation, using a substitution $ofy=ux,is$

$\frac{1}{x}dx+$

$-\frac{5u}{1+u^2}$

$du=0x$ with $dx$ only and $u$ with $du$ only.$y(-1)=3,is$

$x=\frac{1}{{10}^{\frac{5}{2}}}$