AP ECET MATHEMATICS Multiple Choice Questions (MCQs)
AP ECET Mathematics: Differential Equations (Questions 121-135)
121. What is the order of the differential equation \( \frac{d^2y}{dx^2} + \frac{dy}{dx} = 0 \)?
Answer: B) 2
122. Which of the following is the degree of the differential equation \( \left( \frac{dy}{dx} \right)^2 + y = 0 \)?
Answer: B) 2
123. Which of the following is the general solution of the differential equation \( \frac{dy}{dx} = x \)?
Answer: A) \( y = x^2 + C \)
124. The differential equation \( \frac{dy}{dx} = y \) is a type of:
Answer: D) Variable separable differential equation
125. The differential equation \( \frac{dy}{dx} + Py = Q \) is of which type?
Answer: B) Linear first-order differential equation
126. The equation \( \frac{dy}{dx} = \frac{x}{y} \) is a:
Answer: B) Homogeneous equation
127. Which of the following is the solution to the differential equation \( \frac{dy}{dx} = 2x \)?
Answer: A) \( y = x^2 + C \)
128. The differential equation \( \frac{dy}{dx} = y^2 \) is an example of:
Answer: C) Non-linear equation
129. The method used to solve the differential equation \( \frac{dy}{dx} = x + y \) is:
Answer: B) Integrating factor
130. The equation \( \frac{dy}{dx} = \sin(x) \) is a:
Answer: C) Separable equation
131. The solution to the differential equation \( \frac{dy}{dx} = e^x \) is:
Answer: A) \( y = e^x + C \)
132. The equation \( \frac{dy}{dx} = x^2 - y^2 \) is an example of:
Answer: B) Non-linear differential equation
133. The differential equation \( \frac{dy}{dx} = \ln(x) \) is a:
Answer: C) Separable equation
134. The differential equation \( \frac{dy}{dx} = y^2 - x^2 \) is an example of:
Answer: B) Non-linear differential equation
135. The general solution of the differential equation \( \frac{dy}{dx} = 3x^2 \) is:
Answer: A) \( y = x^3 + C \)
<< Previous Page l Next Page >>
Note/Caution: studentsbizz.com does not promise a job or an interview in exchange for money. Fraudsters may ask you to pay under the pretext of a registration fee or refundable fee, but please be aware that legitimate employers will not require such payments.
Join in Our Groups
@ 2024 Students Bizz Platform. All Rights Reserved.