How many MCQ questions are available for Differential Equations?

There are 44 MCQ questions available for Differential Equations (Class 12 Mathematics) — 14 easy, 16 medium, and 14 hard.

Differential Equations

Q: What topics are covered in Differential Equations?

Key concepts covered: Applications of differential equations, Basic concepts: ODE, order, degree, Exponential growth and decay, Formation of differential equations, General and particular solutions, Homogeneous differential equations, Integrating factor, Linear differential equations, Variable separable method.

Class 12 · Mathematics

44 questions14 easy16 medium14 hard

Sample Questions

Q1.The solution of dy/dx = e^(x+y) is:

Ae^y + e^x = C
Be^(–y) + e^x = C
Ce^y – e^x = C
De^(–y) – e^x = C

Q2.The DE formed by eliminating constants A and B from y = (A + Bx)e^(–x) is:

Ay'' + 2y' + y = 0
By'' – y = 0
Cy'' + y = 0
Dy'' – 2y' + y = 0

Q3.The degree of the differential equation [1 + (dy/dx)²]^(3/2) = d²y/dx² is:

A2
B3/2
C1
DDegree is not defined

Q4.The solution of xy dy/dx = y² + x² is:

Ay² = x² + Cx²
By² – x² = Cx²
Cy² = 2x² log x + Cx²
Dy = x log x + Cx

Q5.The solution of (x² – y²) dx + 2xy dy = 0 is:

Ax² + y² = Cx
By² + x = Cy
Cx² – y² = C
Dx(x² + y²) = C

Q6.This is a sample question to preview what you'll get in the full practice test...

A. Option one
B. Option two
C. Option three
D. Option four

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Concepts Covered

Applications of differential equationsBasic concepts: ODE, order, degreeExponential growth and decayFormation of differential equationsGeneral and particular solutionsHomogeneous differential equationsIntegrating factorLinear differential equationsVariable separable method

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