The equation $x^{2} \frac{d^{2} y}{d x^{2}}+5 x \frac{d y}{d x}+4 y=0$ has a solution $y(x)$ that is:
(A) A polynomial in $x$
(B) Finite series in terms of non-integer fractional powers of $x$
(C) Consists of negative integer powers of $x$ and logarithmic function of $x$
(D) Consists of exponential functions of $x$.

Question ID - 155579 :-

The equation $x^{2} \frac{d^{2} y}{d x^{2}}+5 x \frac{d y}{d x}+4 y=0$ has a solution $y(x)$ that is:
(A) A polynomial in $x$
(B) Finite series in terms of non-integer fractional powers of $x$
(C) Consists of negative integer powers of $x$ and logarithmic function of $x$
(D) Consists of exponential functions of $x$.

1 Answer

5876 Votes

3537

Answer Key : (C) -

(C) Consists of negative integer powers of $x$ and logarithmic function of $x$

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