If the general solution of the differential equation ${\text{y}}^{\text{'}}=\frac{\text{y}}{\text{x}}+\varphi \left(\frac{\text{x}}{\text{y}}\right)$, for some function $\varphi$, is given by $\mathrm{yln}\left|\text{c}\text{x}\right|=\text{x}$, where $\text{c}$ is an arbitrary constant, then $\varphi \left(2\right)$ is equal to $\left(\text{here}, $ {\text{y}}^{\text{'}}=\frac{dy}{dx}$\right)$

• A

  $-4$
• Correct answer
  B

  $-\frac{1}{4}$
• C

  $\frac{1}{4}$
• D

  $4$

Hence, the correct answer is option: 'B'.