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A heavy burden in the form of a high-end syllabus is being put upon the grade 12 students. Even though learning these subjects adds value to them in one or the other form, the easiest way of learning them is not taught everywhere. RD Sharma solution And mathematics has always been a subject that is put into the tough zone by the students. To make mathematics and the concepts like Differential Equations easier, the RD Sharma Class 12th Exercise 21.11 solution book lends a helping hand to the students.
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Differential Equations exercise 21.11 question 1
Answer:
By cross multiplication we get
Now substitute and in equation (i)
Differential Equations exercise 21.11 question 2
Differential Equations exercise 21.11 question 3
Answer: years
At we take
Then,
[Putting and in equation (i)]
Putting in equation () we get
When at we have
Putting in equation (ii) we get
We assume that be the time take for the population to become from
Then,
Therefore the required time is years (approximate).
Differential Equations exercise 21.11 question 4
Answer:Differential Equations exercise 21.11 question 5
Answer:Differential Equations exercise 21.11 question 6
Answer: 9 times,Differential Equations exercise 21.11 question 7
Answer: 312500Differential Equations exercise 21.11 question 8
Answer:Differential Equations exercise 21.11 question 9
Differential Equations exercise 21.11 question 10
Answer:Differential Equations exercise 21.11 question 11
Answer: where lambda is thee constant of proportionality.Hence, the time taken where lambda is the constant of proportionality.
Differential Equations exercise 21.11 question 12
Answer: 0.04%Differential Equations exercise 21.11 question 13
Answer:Differential Equations exercise 21.11 question 14
Answer:Differential Equations exercise 21.11 question 15
Answer:Differential Equations exercise 21.11 question 16
Answer:Differential Equations exercise 21.11 question 17
Answer: proved.Differential Equations exercise 21.11 question 18
Answer:Differential Equations exercise 21.11 question 19
Answer:Differential Equations exercise 21.11 question 20
Answer:Differential Equations exercise 21.11 question 21
Answer:Differential Equations exercise 21.11 question 22
Answer:Differential Equations exercise 21.11 question 23
Answer:Differential Equations exercise 21.11 question 24
Answer:Differential Equations exercise 21.11 question 25
Answer:Differential Equations exercise 21.11 question 26
Answer:Differential Equations exercise 21.11 question 28
Answer: 1567 yearsDifferential Equations exercise 21.11 question 29
Differential Equations exercise 21.11 question 30
Answer:Differential Equations exercise 21.11 question 31
Answer:Differential Equations exercise 21.11 question 32
Answer:Differential Equations exercise 21.11 question 33
Answer:Differential Equations exercise 21.11 question 34
Answer:The only set of solution books that most schools have availed is the RD Sharma books. Class 12, mathematics, chapter 21, Differential Equations, contains around eleven exercises. The last exercise, ex 21.11, has about 34 questions, including its subparts. The concepts covered in this exercise include basic ideas on differential equations, solving a first-order equation, forming a differential equation, first degree equations, etc. The RD Sharma Class 12 Chapter 21 Exercise 21.11 reference material is enough to solve this section's doubts. Therefore, the students need not worry regarding the challenges they would face while doing their homework.
As it is the last exercise of the chapter, the students must be aware of the previous exercises' sums to understand this exercise effectively. The students can make use of the other RD Sharma books to revise those exercises and the RD Sharma Class 12th Exercise 21.11 book to refer to the sums in this exercise. Everyone who has scored well in their public exams has admitted that the benefits of the RD Sharma books are ineffable. As many questions were picked from the practice section of this book, students who use it get trained for their public exams directly.
The solutions are given in the Class 12 RD Sharma Chapter 21 Exercise 21.11 Solution book updates according to the latest edition of NCERT books. Therefore, students can work out the Differential equations sums by themselves and later recheck the answer with the help of the RD Sharma Class 12th Exercise 21.11 guide. Else, rechecking the sums would be a bit hectic, and they tend to lose marks because of this.
The best way to own the RD Sharma books is by downloading them from the Career 360 website. Be it the RD Sharma Class 12 Solutions Differential Equation Ex 21.11 or the other books; everything is available for free of cost at this site. Many students have reaped the goodness of this book, and now it's your turn to own a copy of the RD Sharma Class 12 Solutions Chapter 21 Ex 21.11 and prepare for your exams.RD Sharma Chapter wise Solutions
The RD Sharma Class 12th Exercise 21.11 is the most recommended reference guide for the students to refer to the Differential Equations concept.
To get a copy of the RD Sharma books for free of cost, you can download it from the Career 360 website.
Exercise 21.11 is the last exercise of the Differential Equations chapter. Students can use the RD Sharma Class 12th Exercise 21.11 reference book to work out the sums effortlessly in this exercise.
The answer key present in the RD Sharma solution guides is rechecked and verified to assure its accuracy. Therefore, the students need not worry about such issues
The RD Sharma books contain the solved sums for every question in the Level 1, Level 2, MCQ, FBQ, RE, and even CSBQ section asked in the textbook.
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