Question

Statement-I : The order of the differential equation whose primitive is $y = A +\ell nBx$ is 2 because
Statement-II : If there are ' $n$ ' independent arbitrary constants in a family of curve then the order of the corresponding differential equation is ' $n$ '.

• A. Statement-I is true, Statement-II is true ; Statement-II is correct explanation for Statement-I.
• B. Statement-I is true, Statement-II is true ; Statement-II is NOT a correct explanation for statement-I.
• C. Statement-I is true, Statement-II is false.
• D. Statement-I is false, Statement-II is true.

Answer 1

Answer: (D)

$y = A +\ln Bx $
$ \therefore \frac{ dy }{ dx }=\frac{1}{ x }$
Hence order is 1 .
So statement-I is false \& statement-II is true.