Question

The function $f\left(x\right)$ satisfying the equation, $f^2\left(x\right)+4f^{\prime }\left(x\right).f\left(x\right)+\left[f^{\prime }\right(x){]}^2=0$.

• A. $f\left(x\right)=c.e^{(2-\sqrt{3})}x$
• B. $f\left(x\right)=c.e^{(2+\sqrt{3})}x$
• C. $f\left(x\right)=c.e^{(\sqrt{3}-2)}x$
• D. $fx=c.e^{-(2+\sqrt{3})}x$

Answer 1

Answer: (A), (B), (C), (D)

The correct options are
A $f\left(x\right)=c.e^{(2-\sqrt{3})}x$
B $f\left(x\right)=c.e^{(2+\sqrt{3})}x$
C $f\left(x\right)=c.e^{(\sqrt{3}-2)}x$
D $fx=c.e^{-(2+\sqrt{3})}x$