IIT JEE , AIEEE Forum - Mathematics , Differential Calculus

monur3

1)if y=x^n-1logx then x²y₂+(3-2n)xy₁=

a)-(n-1)²y b)(n-1)²y c)-n²y d)n²y

2)if xy -lny=1 satisfies the equation

x(yy₂+y₁²)-y₂+

yy₁=0 then

=

a)-3 b)1 c)3 d)none of these

Avinash_Bhat

y = x ^{n - 1} log x

y₁ = x^{n - 2}( (n - 1).log x + 1 )

y₂ = x ^{n - 3}( 2n - 3 + (n - 1).(n - 2).log x )

x²y₂ + (3 - 2n)xy₁ = - (n - 1)²y

Option : (a)

striker

THE ANS FOR 2nd QUE IS :::d