JEE Maths
Differential Equations
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]
(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) .
**********
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.
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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.
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