Hello everyone, the mains paper of all of you has arrived and those children who were scared, I told you that I am making you ask five such questions, out of which I made you ask two sequence A series questions which are most expected and most repeated. This is because the maximum questions of AP have been repeated to you and the maximum questions of GP have also been repeated to you. Similarly, there is a question of our differential equation on the same concept, which is this question of differential equation which is on our variable separable and this question of variable separable. The question which is very much repeated, I said that when you will be giving your mains paper, I said that you should do five to six questions well so that your score becomes less than 20 to 24 i.e. if you have a choice out of six questions. If you can get less than five correct, then if you get five correct then your 20 marks will be in the mess somewhere, then the easy questions of sequence and series means you will not be able to do tough but you can do easy questions . Which are easy questions, that is, you can do them, those questions are based on class 12th, that is, you may have a little bit of calculus in it, but do not be afraid, do not be afraid, if you have to do those questions, then what are these questions? Listen very carefully to what he is saying to us, this is the January Attempt question on Variable Separable in which we have to solve it, what is the question, he has given us this question, he has given us this complete equation, now he has told us that y and y. If you have been given two values of the value at off 0 then you have to find the value then what is funny to you is you have to find the value of the function y at off y at off 2. What will be the solution to this question and what will be the value. If the variable is separable then what all of you children have to remember is that when you are going to do integration then the function f of one is a function f one i.e. You here, if you guys are keeping d one and here on gy on gy but if you are keeping d wa here then that means what you have to do, you don't have to do anything, you have to put y's all at one place y's all at one place Then by putting all the Multiply by dx2 What do you have to write ? The child has to write We will use our brain a little bit because 12th base is also a question, we ask a lot of such questions in 12th based, so you can also do such questions very easily, just have faith in yourself, as I said, it is important to have trust. More questions on yourself, if it is long then your hands should keep moving. Whatever hands you have, they should keep moving. Now what to do is that tx is visible and x is visible. So we read in trigonometry that whenever we have tx And if we see If we put the integration sign, here we will write 2 in brackets. I will write x - as 1s xtx. What will I write about sinx-cosx? It is worth noting that there is nothing here, so its So what will be the direct integration? What will be the direct integration of this? Will I get to see the direct integration of this? So there is no problem with this, the problem here is that if this whole dangerous expression is being seen then I How to solve this , so focus very carefully, focus very carefully that we can see one thing here that is visible here is to butu is x -1 in the bracket then sinx-cosx if I slightly If I concentrate, if I multiply this by 2, I will get 2x - 2, and if I multiply it by x, I will get x - 2x, then I can see one thing that what is written here. Whatever is written here, you will give its differential, here you guys will put it after variable separable, you guys will put it here first. What will you put? First, you guys will put two seconds. Let's leave it as it is. Because you will get to see something, then I will write this as 2x - 1. Then I will write this. I will put sinx-cosx. Aa a at aa aa. If A is clear, then you will have functions of Algebra, functions of Trigometry, then Algebra will have to be considered first, this will have to be considered second, so if I consider this first, then what will I have to do? First, this is the same, then what will happen is x s minus 2x as it is. I will have to write integration of second integration, what is integration of cx, sinx-cosx of minus , then I will have to add plus, then I will have to do integration and then I will take the differential of what I am seeing and multiply by what I will have to do is integration of what I am seeing. So cosx-sinx is the whole expression. This whole expression is gone so I have only one expression left y = y = If we put back the value of y, then what was the equation of y. I had x s - ka 2x , sinx-cosx to be found in it, then what will be the final answer of this question, children, y = 2 is the final answer of this. Question: Now what you have to pay attention to is that if now again the question of Variable Separable will be coming in our April shift, if there are 10 to 12 shifts, then in 10 to 12 shifts, in four to five shifts, this question will be seen somewhere. You will get it and you will be able to see it from 99 onwards because if you go from here now, if you want to complete it all, then if you are practicing more then catch some selected questions. If your physics is not strong then catch Ad Minity. Take all the January Attempt PVA cues from there and if you want to strengthen mathematics better, I will keep telling you the concepts from time to time, but if you all have time left then complete all the Physics from Adnet from there. Do Piva cues and go to Neha ma'am's channel and complete the PY cues of January Attempt. I will keep telling you the highlights of Physics and Mathematics but if you maintain continuity then you will have to see things there because she has been talking about that thing for a long time. If you are following and you will be getting the complete material there, then all the children should keep this thing in mind and go as soon as possible and complete all your things, you do not have to do everything, we are going to give JE paper. Giving the paper means that you do not have to study everything and do not attempt all the questions, you have to do less questions, you have to do the right questions. After this, I will also make you have questions on one linear differential equation because this is the most important. You will get to see 100% of this type of questions and on a linear differential equation also you will get to see 100% of the questions, then just after this, that too will be getting uploaded, hence I say that if you are new to the channel, then keep subscribing to the channel. This channel is going to help you to the next level and all your problems are going to be solved. All the children should take care of this channel. Short notes have been uploaded. One of the best short notes of Mathematics has been uploaded which you will not find anywhere. You guys may not be able to find it, you can go and cross check it once, go and revise it, grab the selected questions, selected chapters, complete them and go to give your paper. If you are new on the channel, do subscribe to the channel. Till then, take care. Bye bye .
