Quantrex Quantrex AcademyJEE · NEET · NDA PYQs with solutions Open app
NDA2019MathematicsDifferential EquationsActual

What is the general solution of the differential equation d y d x + x y =0 ?

Options

  1. Ax ^2+ y ^2= c
  2. Bx ^2- y ^2= c
  3. Cx ^2+ y ^2= cxy
  4. Dx+y=c

Correct answer

A. x ^2+ y ^2= c

Step-by-step solution

d y d x + x y =0 aligned & d y d x = -x y & y d y+x d x=0 & y^2 2 + x^2 2 +c=0 & y^2+x^2+2 c=0 & x^2+y^2=c aligned

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 d^2y dx^2 ( dx dy )^2 equal to ? 2026What is the solution of the differential equation ( dy dx )=p when y(0)=q ? 2026Passage: Consider the differential equation e^ x+y dy dx =e^ x-y . Question: What is the solution of the differential equation with y(0)=0 ? 2026What is the degree of the differential equation ( d^2y dx^2 )^ 3 2 = ( dy dx )^ 5 2 ? 2025If k is an arbitrary constant, then what is the general solution of the equation (x + y)^2 dy dx = k^2 ? 2025Consider the following statements: I. y = xe^ 2x is the solution of dy dx = y (2 + 1 x ) . II. y = x |x| + cx is the solution of dy dx = x + y x . Which of the statements given abo 2025What are the order and degree respectively of the differential equation 2- ( d y d x )^2 ^ 0.6 = d^2 y d x^2 ? 2024Paragraph: Let y d x+ (x-y^3 ) d y=0 be a differential equation. Question: What is the solution of the differential equation? 2024 Full Differential Equations list All NDA PYQs