If y = a cos ( l og x) + b sin ( l og x) where a, b are parameters, the x 2 y′′ + xy′ is…
Mathematics · JEE Main · NTA Exams — Limit, Continuity and Differentiability
If y = a cos (log x) + b sin (log x) where a, b are parameters, the x2y′′ + xy′ is equal to
- y
- –y
- 2y
- –2y
Answer
(B) –y
Sign up free on Edukali to view the step-by-step worked solution and practice thousands of similar questions.
Related practice questions
- The function f (x) = 2x 2 – log | x | monotonically decreases for
- Assertion : Shortest distance between | x | + | y | = 2 & x 2 + y 2 = 16 is 4- 2 Reason : Shortest distance…
- Assertion : The equation 3x 2 + 4ax + b = 0 has at least one root in (0, 1), if 3 + 4a = 0 . Reason : f (x) =…
- If _ x 0 (3+x)- (3-x) x =k, the value of k is
- Consider the function f (x) = max x 2 , (1 – x) 2 , 2x (1 – x) where 0 ≤ x ≤ 1 . Let RMVT is applicable for f…
- If y= _ u(x) ^ v(x) f(t) d t let us define d y d x in a different manner as d y d x =v^ (x) f^ 2 (v(x))-u^…
- Differentiate the function y= [x^ 2 +1 ] 2 x w. r. t. x.
- The function f(x)= ^ -1 x+x increases in the interval
More Limit, Continuity and Differentiability questions · Browse all practice questions