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 $x$.

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

127 votes

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

127 votes

127