Math miscellaneousMedium
Question
Let f(x) be differentiable on the interval (0, ∞) such that f(1) = 1, and
for each x > 0. Then f(x) is
for each x > 0. Then f(x) is
Options
A.
B.
C.
D.
Solution
⇒ x2f′(x) - 2xf(x) + 1 = 0
⇒ f(x) = cx2 +
also f(1) = 1⇒ c =
Hence f(x) =
x2 + 
.Create a free account to view solution
View Solution FreeMore Math miscellaneous Questions
If an = having n radical signs then by methods of mathematical induciton which is true...If , then k is equal to :...If A = and I = then which one of the following holds for all n ≥ 1, by the principle of mathematical indunction...A particle is projected from a point O with velocity u at an angle of 60o with the horizontal. When it is moving in a di...The number of integral solution of the equation x + y + z = 0, with x ≥ - 5, y ≥ - 5, z ≥ - 5 is : -...