Quantrex Quantrex AcademyJEE · NEET · NDA PYQs with solutions Open app
NDA 2021
Exam
NDA
Year
2021
Subject
Mathematics
Chapter
Differential Equations

NDA 2021 · Mathematics · Differential Equations

What is the differential equation of y=A-(B)/(x) ?

What is the differential equation of y=A−Bxy=A-\frac{B}{x} ?

Options

  1. Axy2+y1=0x y_2+y_1=0
  2. Bxy2+2y1=0x y_2+2 y_1=0
  3. Cxy2−2y1=0x y_2-2 y_1=0
  4. D2xy2+y1=02 x y_2+y_1=0

Correct answer

B. xy2+2y1=0x y_2+2 y_1=0

Step-by-step solution

General solution, y=A−Bxy=A-\frac{B}{x}y1=−B(−1x2)=Bx2x2y1=Bx2y2+y1×2x=0∴x(xy2+2y1)=0\begin{aligned} & y_1=-B\left(-\frac{1}{x^2}\right)=\frac{B}{x^2} \\ & x^2 y_1=B \\ & x^2 y_2+y_1 \times 2 x=0 \\ & \therefore \quad x\left(x y_2+2 y_1\right)=0 \end{aligned}$DifferentialEquation:Differential Equation :x y_2+2 y_1=0$
Practice Differential Equations on Quantrex Academy →

More from Differential Equations

Passage: Consider the differential equation e^ x+y (dy)/(dx)=e^ x-y . Question: What is… NDA 2026What is the solution of the differential equation ((dy)/(dx))=p when y(0)=q ? NDA 2026Passage: Consider the differential equation e^ x+y (dy)/(dx)=e^ x-y . Question: What is… NDA 2026What is the degree of the differential equation ((d^2y)/(dx^2))^ (3)/(2) = ((dy)/(dx))^… NDA 2025If k is an arbitrary constant, then what is the general solution of the equation (x +… NDA 2025Consider the following statements:I. y = xe^ 2x is the solution of (dy)/(dx) = y (2 +… NDA 2025What are the order and degree respectively of the differential equation \ 2-((d y)/(d… NDA 2024Paragraph: Let y d x+(x-y^3) d y=0 be a differential equation. Question: What is the… NDA 2024The differential equation, representing the curve y=e^x(a x+b x) where a and b are… NDA 2024Paragraph: Let y d x+(x-y^3) d y=0 be a differential equation. Question: What are the… NDA 2024If (d y)/(d x)=2 e^x y^3, y(0)=(1)/(2) then what is 4 y^2 (2-e^x) equal to? NDA 2024Let y_1(x) and y_2(x) be two solutions of the differential equation (d y)/(d x)=x . If… NDA 2024A parabola pases through (1,2) and satisfies the differential equation (d y)/(d x)=(2… NDA 2023A parabola pases through (1,2) and satisfies the differential equation (d y)/(d x)=(2… NDA 2023What are the order and the degree respectively of the differential equation x^2((d^3… NDA 2023What is the differential equation of all parabolas of the type y^2=4 a(x-b) ? NDA 2023 Full Differential Equations list Differential Equations JEE Maths PYQsJEE Mathematics PYQs All NDA PYQs