Differential Equations · NDA previous year questions

2026 3 questions

1. Q962026 · 12 Apr 2026

   Passage: Consider the differential equation $e^{x+y}\frac{dy}{dx}=e^{x-y}$. Question: What is the solution of the differential equation with $y(0)=0$ ?

   1. A.$y=\ln (2x+1)$
   2. B.$y=\ln (2x-1)$
   3. C.$2y=\ln (2x+1)$
   4. D.$2y=\ln (2x-1)$
   Show answer

   Answer: C

2. Q972026 · 12 Apr 2026

   Passage: Consider the differential equation $e^{x+y}\frac{dy}{dx}=e^{x-y}$. Question: What is $\frac{d^{2}y}{d{x}^2}{\left(\frac{dx}{dy}\right)}^2$ equal to ?

   1. A.$-2$
   2. B.$-1$
   3. C.0
   4. D.2
   Show answer

   Answer: A

3. Q982026 · 12 Apr 2026
   
   1. A.$\cos \left(\frac{y-q}{x}\right)=p$
   2. B.$\cos \left(\frac{y-p}{x}\right)=q$
   3. C.${\cos }^{-1}\left(\frac{y-q}{x}\right)=p$
   4. D.${\cos }^{-1}\left(\frac{y-p}{x}\right)=q$
   Show answer

   Answer: A