Multiple Choice Questions (MCQs) for CUET Mathematics: Differential Equations
Explore reliable objective questions for Differential Equations tailored for CUET learners. Utilizing these Mathematics multiple-choice formats ensures thorough preparation and strengthens problem-solving speed for upcoming school assessments.
Practice Differential Equations MCQs for CUET Mathematics
Access the complete set of multiple-choice questions for Differential Equations below. This focused format allows students to isolate specific topics for thorough review and uninterrupted practice alongside official CUET textbooks.
Question : The general solution of a differential equation is (y + c)2 = cx where c is an arbitrary constant. The order and degree of the differential equation are respectively
(a) 1, 2
(b) 2, 2
(c) 1, 1
(d) 2, 1
Answer : A
Question :
(a) 16
(b) 63
(c) 64
(d) 15
Answer : C
Question : The degree of the differential equation
(a) one
(b) two
(c) half
(d) four
Answer : B
Question : The order and degree of the differential equation of the family of circles touching the x-axis at the origin, are respectively
(a) 1, 1
(b) 1, 2
(c) 2, 1
(d) 2, 2
Answer : A
Question : The general solution of the equation
Answer : A
Question : The differential equation Φf(x)dy = y {fΦ'(x) – y}dx is changed in the form df(x, y) = 0. Then f(x, y) is
(a) 1/2Φ(x)+y
(b) 1/yΦ(x)-x
(c)1/yΦ(x)+x
(d) Φ(x)/y
Answer : B
Question : The differential equation of the family of curves y = ex(A cos x + B sin x), where A, B are arbitrary constants, has the degree n and order m. Then
(a) n = 2, m = 1
(b) n = 2, m = 2
(c) n = 1, m = 2
(d) n = 1, m = 1
Answer : C
Question : The order and degree of the differential equation of the fami&*aving the same foci, are respectively
(a) 1, 1
(b) 2, 1
(c) 2, 2
(d) 1, 2
Answer : D
Question :
Answer : A
Question : The order the differential equation
(a) one
(b) two
(c) four
(d) zero
Answer : B
Question : If y(t) is a solution of the equation
(a) -1/2
(b) e+1/2
(c) e-1/2
(d) 1/2
Answer : A
Question : The solution of primitive integral equation (x2 + y2)dy = xy . dx is y = y(x). If y(1) = 1 and y(x0) = e then x0 is
Answer : C
Question : The number of arbitrary constants in the general solution of differential equation of fourth order is
(a) 4
(b) 3
(c) 2
(d) 0
Answer : A
Question : The general solution of a differential equation is y = aebx+c where a, b, c are arbitrary constants. The order of the differential equation is
(a) 3
(b) 2
(c) 1
(d) none of these
Answer : B
Question : The solution of (x + logy)dy + y dx = 0 when y(0) = 1 is
(a) y(x – 1) + ylog y = 0
(b) y(x – 1 + logy) + 1= 0
(c) xy + ylogy + 1 = 0
(d) none of these
Answer : B
Question : The order of the differential equation of all the circles of given radius 4 is
(a) 2
(b) 3
(c) 4
(d) 5
Answer : A
Question : The degree and order of the differential equation of the family of all parabolas whose axis is the x-axis, are respectively
(a) 1, 2
(b) 3, 2
(c) 2, 3
(d) 2, 1
Answer : A
Free study material for Mathematics
Practice MCQs for CUET Mathematics Differential Equations
Download Multiple Choice Questions: Differential Equations (CUET Mathematics)
Explore reliable practice questions for Differential Equations tailored for CUET Mathematics learners. Use these multiple-choice formats to evaluate preparedness and strengthen problem-solving skills.
Concept Clarification for Differential Equations
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FAQs
You can get most exhaustive CUET Mathematics MCQs Differential Equations for free on StudiesToday.com. These MCQs for CUET Mathematics are updated for the 2026-27 academic session as per CUET examination standards.
Yes, our CUET Mathematics MCQs Differential Equations include the latest type of questions, such as Assertion-Reasoning and Case-based MCQs. 50% of the CUET paper is now competency-based.
By solving our CUET Mathematics MCQs Differential Equations, CUET students can improve their accuracy and speed which is important as objective questions provide a chance to secure 100% marks in the Mathematics.
Yes, Mathematics MCQs for CUET have answer key and brief explanations to help students understand logic behind the correct option as its important for 2026 competency-focused CUET exams.
Yes, you can also access online interactive tests for CUET Mathematics MCQs Differential Equations on StudiesToday.com as they provide instant answers and score to help you track your progress in Mathematics.