Quantrex Quantrex AcademyJEE · NEET · NDA PYQs with solutions Open app
NDA 2010
Exam
NDA
Year
2010
Subject
Mathematics
Chapter
Differential Equations

NDA 2010 · Mathematics · Differential Equations

What does the solution of the differential equation x (d y)/(d x)=y...

What does the solution of the differential equation xdydx=yx \frac{d y}{d x}=y represent? \text{ represent? }

Options

  1. AFamily of straight lines through the origin
  2. BFamily of circles with their centres at the origin
  3. CFamily of parabolas with their vertices at the origin
  4. DFamily of straight lines having slope 1 and not passing through the origin

Correct answer

A. Family of straight lines through the origin

Step-by-step solution

The correct answer is option (A).
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