If y=acos(logx)+sin(logx),prove that dx2x2d2+ xdxdy+y=0

Click here to view the solution.

Get 2 FREE Instant-Explanations on Filo with code FILOAPP

If {y}={a}{{{({{{x}}})}}}+{{{({{{x}}})}}},prove that {{{x}^{{2

Question

If $y = a cos (lo g x) + sin (lo g x),$ prove that $\frac{x ^{2} d ^{2}}{d x ^{2}} + x \frac{d y}{d x} + y = 0$

Views: 738 students

Found 8 tutors discussing this question

Sofia Discussed

y = a cos (lo g x) + sin (lo g x),

prove that

\frac{x ^{2} d ^{2}}{d x ^{2}} + x \frac{d y}{d x} + y = 0

14 mins ago

Discuss this question LIVE

14 mins ago

Question Text

y = a cos (lo g x) + sin (lo g x),

prove that

\frac{x ^{2} d ^{2}}{d x ^{2}} + x \frac{d y}{d x} + y = 0