The differential equation of y = c2 + \(\frac{c}{x}\) is…….
A. \(x^{4}\left(\frac{d y}{d x}\right)^{2}-x \frac{d y}{d x}=y\)
B. \(\frac{d y}{d x^{2}}+x \frac{d y}{d x}+y=0\)
C. \(x^{3}\left(\frac{d y}{d x}\right)^{2}+x \frac{d y}{d x}=y\)
D. \(\frac{d^{2} y}{d x^{2}}+\frac{d y}{d x}-y=0\)
Answer:A
The differential equation of y = c2 + \(\frac{c}{x}\) is…….
A. \(x^{4}\left(\frac{d y}{d x}\right)^{2}-x \frac{d y}{d x}=y\) B. \(\frac{d y}{d x^{2}}+x \frac{d y}{d x}+y=0\) C. \(x^{3}\left(\frac{d y}{d x}\right)^{2}+x \frac{d y}{d x}=y\) D. \(\frac{d^{2} y}{d x^{2}}+\frac{d y}{d x}-y=0\)