Differential Equations — Practice Quiz
Telangana Open School (TOSS) · Class 12 · Mathematics
Try a 4-question quiz on Differential Equations for Telangana Open School (TOSS) Class 12 Mathematics: tap an answer to check it and see why.
Interactive on Super Tutor
Studying Differential Equations? Get the full interactive chapter.
Quizzes, flashcards, AI doubt-solver and a step-by-step study plan — built for practice quiz and more.
Free trial, no card needed.
Quick Quiz: Differential Equations
0/4Tap an answer to check it instantly. No sign-up needed for these 4.
What is the order of the differential equation \( \frac{d^2y}{dx^2} + y = 0 \)?
What is the degree of the differential equation \( \left(\frac{dy}{dx}\right)^2 + 3y = 5x \)?
Which of the following is a linear differential equation?
The differential equation \( \frac{dy}{dx} = \cos x \) is of order:
Sample Questions
The degree of \( \frac{dy}{dx} = \sin x \) is:
Show answer
1
The derivative \( \frac{dy}{dx} \) is of degree 1 as it is not raised to any power.
Which of the following represents a differential equation?
Show answer
\( \frac{dy}{dx} = 2x \)
A differential equation involves derivatives. \( \frac{dy}{dx} = 2x \) contains a derivative and is a differential equation.
The general solution of \( \frac{dy}{dx} = f(x) \) is:
Show answer
\( y = \int f(x) dx + c \)
Integrating both sides of \( \frac{dy}{dx} = f(x) \) gives \( y = \int f(x) dx + c \), where c is an arbitrary constant.
The differential equation \( xdx + ydy = 0 \) is:
Show answer
Linear, Homogeneous, First order
The equation can be written as \( \frac{dy}{dx} = -\frac{x}{y} \). It is linear in terms of differentials, homogeneous (both terms degree 1), and first order.
+46 more questions on Differential Equations (Telangana Open School (TOSS) Class 12 Mathematics)
Practise AllFrequently Asked Questions
What are the important topics in Differential Equations for Telangana Open School (TOSS) Class 12 Mathematics?
How many practice questions are there for Differential Equations?
Sources & Official References
Content is aligned to the official syllabus. Refer to the board website for the latest curriculum.
More resources for Differential Equations
Important Questions
Exam-style questions with answers
Revision Notes
Key points for last-minute revision
Formula Sheet
The chapter's formulas in one place
Chapter Summary
Understand the chapter at a glance
Concept Maps
See how topics connect
Study Plan
Step-by-step plan for this chapter
Flashcards
Quick-fire cards for active recall
Syllabus
What topics to cover
For serious students
Get the full Differential Equations chapter — start free.
Quizzes, flashcards, an AI doubt solver and a study plan for Telangana Open School (TOSS) Class 12 Mathematics. Free to start, no card needed.