Daily Practice Problems
JEE Maths
Differential Equations
daily practice problem

Question1:

If , then the solution of differential equation is [Level: Easy]

(a)

(b)

(c)

(d) .

 

Question2:

The solution of differential equation  is [Level: Difficult]

(a)

(b)

(c)

(d) .

 

Question3:

A solution of the differential equation  is [Level: Difficult]

(a)                   

(b)                

(c)                     

(d) .    

 

Question4:

The solution of the differential equation  is given by [Level: Moderate]

(a)

(b)

(c)

(d)

 

Question5:

The solution of differential equation  is [Level: Moderate]

(a)

(b)

(c)

(d) .

 

Question6:

The differential equation of all parabolas whose axes are parallel to axis of , is [Level: Moderate]

(a)

(b)

(c)

(d) .

 

Question7:

If  and , then  equals [Level: Difficult]

(a)             

(b)                       

(c)                       

(d) .         

 

Question8:

If , then  is equal to [Level: Easy]

(a)       

(b)                                    

(c)                  

(d) .

 

Question9:

The differential equation for the family of curves , where  is an arbitrary constant, is [Level: Easy]

(a)

(b)

(c)

(d) .

 

Question10:

The solution of the differential equation  is [Level: Easy]

(a)  

(b)

(c)

(d) .

 

Question11:

If  is the equation of the curve an its differential equation is given by , then the equation of the curve, if it passes through , is [Level: Moderate]

(a)

(b)

(c)

(d) .

 

Question12.

The order and degree of the differential equation  are respectively [Level: Moderate]

(a)                        

(b)                          

(c)  

(d)  .

 

Question13.

The solution of the differential equation  is [Level: Moderate]

(a)                    

(b)                     

(c)       

(d) .

 

Question14.

The solution of the differential equation  is [Level: Moderate]

(a)         

(b)                    

(c)                     

(d) .      

 

Question15.

The order of the differential equation whose general solution is given by  where c1,c2,c3,c4,c5  are arbitrary constants, is __________. [Level: Moderate]

 

Question16.

If  where , then the value of  at  is __________ [Level: Moderate]

 

Question17.

If the solution of the differential equation  and  has a finite value, when , then the value of  is__________. [Level: Difficult]       

 

Question18.

The order of the differential equation of all tangent lines to the parabola  is__________. [Level: Moderate]               

 

Question19.

If the dependent variable y  is changed to '  ' by the substitution  and the differential equation  is changed to , then the value of  equals __________ . [Level: Difficult]

 

Question20.

The differential equation satisfied by the family of curves , where a  and  are parameters, is [Level: Easy]

(a)                

(b)                  

(c)

(d) .

**********

Problem-solving on JEE Maths Differential Equations NCERT Chapter 9 after learning a theoretical concept is crucial for several reasons:

  1. Application of Knowledge: Problem-solving allows you to apply the theoretical concepts of the topic JEE Maths Differential Equations you have learned to real-life situations. It helps you bridge the gap between abstract knowledge and practical scenarios, making the learning more relevant and meaningful.
  2. Understanding Deeper Concepts: When you encounter problems related to a theoretical concept that you learned in JEE Maths Differential Equations NCERT Chapter 9, you are forced to delve deeper into its intricacies. This deeper understanding enhances your comprehension of the subject and strengthens your grasp of the underlying principles.
  3. Critical Thinking: Problem-solving encourages critical thinking and analytical skills. It requires you to analyze the problem, identify relevant information, and devise a logical solution. This process sharpens your mind and improves your ability to approach complex challenges effectively.
  4. Retention and Recall: Actively engaging in problem-solving reinforces your memory and improves long-term retention. Applying the concepts learned in Differential Equations JEE Maths in practical scenarios helps you remember them better than passive reading or memorization.
  5. Identifying Knowledge Gaps: When you attempt to solve problems, you may encounter areas where your understanding is lacking. These knowledge gaps become evident during problem-solving, and you can then focus on filling those gaps through further study and practice. You can refer Differential Equations JEE Maths Notes on LearnoHub.com
  6. Boosting Confidence: Successfully solving problems after learning a theoretical concept boosts your confidence in your abilities to handle Differential Equations. This confidence motivates you to tackle more challenging tasks and improves your overall performance in the subject.
  7. Preparation for Exams and Challenges: Many exams, especially in science, mathematics, and engineering, involve problem-solving tasks. Regular practice in problem-solving prepares you to face these exams with confidence and perform well. It is also advised to take tests on Differential Equations JEE Maths Online Tests at LearnoHub.com.
  8. Enhancing Creativity: Problem-solving often requires thinking outside the box and exploring various approaches. This fosters creativity and innovation, enabling you to come up with novel solutions to different problems.
  9. Life Skills Development: Problem-solving is a valuable life skill that extends beyond academics. It equips you with the ability to tackle various challenges you may encounter in personal and professional life.
  10. Improving Decision Making: Problem-solving involves making decisions based on available information and logical reasoning. Practicing problem-solving enhances your decision-making skills, making you more effective in making informed choices.

In summary, problem-solving after learning a theoretical concept on CBSE Differential Equations JEE Maths is an essential part of the learning process. It enhances your understanding, critical thinking abilities, and retention of knowledge. Moreover, it equips you with valuable skills that are applicable in academic, personal, and professional contexts.

You must have heard of the phrase “Practice makes a man perfect”. Well, not just a man, practice indeed enhances perfection of every individual.

Practicing questions plays a pivotal role in achieving excellence in exams. Just as the adage goes, "Practice makes perfect," dedicating time to solve a diverse range of exam-related questions yields manifold benefits. Firstly, practicing questions allows students to familiarize themselves with the exam format and types of problems they might encounter. This familiarity instills confidence, reducing anxiety and improving performance on the actual exam day. Secondly, continuous practice sharpens problem-solving skills and enhances critical thinking, enabling students to approach complex problems with clarity and efficiency. Thirdly, it aids in identifying weak areas, allowing students to focus their efforts on improving specific topics. Moreover, practice aids in memory retention, as active engagement with the material reinforces learning. Regular practice also hones time management skills, ensuring that students can allocate appropriate time to each question during the exam. Overall, practicing questions not only boosts exam performance but also instills a deeper understanding of the subject matter, fostering a holistic and effective learning experience.

All About Daily Practice Problems on JEE Maths Differential Equations NCERT Chapter 9

Our Daily Practice Problems (DPPs) offer a diverse range of question types, including Multiple Choice Questions (MCQs) as well as short and long answer types. These questions are categorized into Easy, Moderate, and Difficult levels, allowing students to gradually progress and challenge themselves accordingly. Additionally, comprehensive solutions are provided for each question, available for download in PDF format - Download pdf solutions as well as Download pdf Questions. This approach fosters a holistic learning experience, catering to different learning styles, promoting self-assessment, and improving problem-solving skills. With our well-structured DPPs, students can excel in exams while gaining a deeper understanding of the subject matter. Hope you found the content on JEE Maths Differential Equations NCERT Chapter 9 useful.

Last but not least, to get the best hold on JEE Maths Differential Equations NCERT Chapter 9, do not forget to check out:

  • Differential Equations JEE Maths Best videos
  • Differential Equations JEE Maths NCERT Solutions
  • JEE Maths Differential Equations Revision notes
  • Differential Equations JEE Maths DPPs, Download PDF of solutions
  • JEE Maths Differential Equations Online Tests
  • JEE Maths Sample papers

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