The function $f(x)$ satisfies
\[b^2 f(a) = a^2 f(b)\]for all real numbers $a$ and $b.$  If $f(2) \neq 0,$ find
\[\frac{f(5) - f(1)}{f(2)}.\]
Question:
The function $f(x)$ satisfies
\[b^2 f(a) = a^2 f(b)\]for all real numbers $a$ and $b.$  If $f(2) \neq 0,$ find
\[\frac{f(5) - f(1)}{f(2)}.\]
Answer:
Let's think step by step.

user
6
The function $f(x)$ satisfies
\[b^2 f(a) = a^2 f(b)\]for all real numbers $a$ and $b.$  If $f(2) \neq 0,$ find
\[\frac{f(5) - f(1)}{f(2)}.\]
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