Consider the Differential Equation
What Is the General $x^{4} y^{8}+\frac{e^{2 x}}{2}+\frac{\cos \left(\frac{1}{3} y\right)}{\frac{1}{3}}=C$

Multiple Choice

Consider the differential equation
What is the general solution of this differential equation?

A) $x^{4} y^{8}+\frac{e^{2 x}}{2}+\frac{\cos \left(\frac{1}{3} y\right) }{\frac{1}{3}}=C$
B) $x^{4} y^{8}+\frac{e^{2 x}}{2}-\frac{\cos \left(\frac{1}{3} y\right) }{\frac{1}{3}}=C$
C) $x^{4} y^{8}+2 e^{2 x}-\frac{1}{3} \cos \left(\frac{1}{3} v\right) =C$
D) $x^{4} y^{8}+2 e^{2 x}+\frac{1}{3} \cos \left(\frac{1}{3} v\right) =C$