JEE Advanced 2022 #14

This problem required solving a first order linear differential equation using the method of integrating factor. The student is then required to deduce the properties of the function obtained.

[@rishabhtiwari2325]

First two options can be eliminated by simply observing the question, as one can sense that the original function y would have further trigonometric terms hence it would be an oscillating function and thus non-monotonic.

[@ayushrudra8600]

Also d being true implies c being true and since only one is correct that answer is c

[@PrimeNewtons]

There's no rule that only one is correct. The rule is 'at least one is correct '

[@ayushrudra8600]

@@PrimeNewtons oh ok

[@robertpearce8394]

​@PrimeNewtons Yes. You need to solve mathematics, not logic.

[@geraldwellborn5047]

I liked the way you solved this using a logical, methodical order. Also you have good hand writting. Thanks

[@devcoolkol]

Jee series go brrr.

[@surendrakverma555]

Thanks Sir 👍

[@jasonryan2545]

This method is quite different from the one I know of. The questions I was made to solve were much easier, yes, although the way you solved this one was way simpler than how I would have done it. Thank you so much for a video like this, its very helpful Mr. Newtons!❤

[@albajasadur2694]

If the question is multiple choice, I would halt the process once we establish the integrating factor. For example, by examining the integrand exp(12x)cos(pi/12x), we notice distinct behavior for x > 0 and x < 0, leading us to conclude that y does not exhibit periodicity across the entire real x-axis.

[@varshabhujade974]

You are given around 1 to 3 minutes to solve lengthy questions in JEE. The whole exam is 3 hours long.

[@Ghostwriter_zone]

Take some more crazy questions from jee advanced❤ You'll not be bored by seeing those questions🐵

[@Loots1]

nice i got it right wasnt too hard tbh

[@epikherolol8189]

Yea

[@ShoaibKhan-vm3dz]

Sir, are you from nigeria?

[@PrimeNewtons]

Yes

[@tamajongmichaelnkeh1978]

I was going to ask this.

[@tamajongmichaelnkeh1978]

@@PrimeNewtonsgreat! I am 🇨🇲. I'm an engineer and I love teaching too. I ❤your videos.

[@DipeshKrsnaktwda]

How can I contact you?

[@cycklist]

Did you not watch the first three seconds of the video? Too busy?

[@Yassine-W]

Are you stupid?

[@mmfpv4411]

Amusing how some people can be helpful and very rude at the same time.