Consider the initial value problem

$y{y}^{\text{'}}-xsin(x)=0,y(0)=\sqrt[\phantom{2}]{2.}$

Is $y(x)=\sqrt[\phantom{2}]{2(sin(x)-xcos(x))+2}$ the solution to the above initial value

problem?

Select one:

a$.$ No$.$

b$.$ Yes.