Quantrex Quantrex AcademyJEE · NEET · NDA PYQs with solutions Open app
NDA2020MathematicsDifferential EquationsActual

What is the solution of the differential equation ( d y d x )=x ?

Options

  1. Ay=e^x+c
  2. By=e^ -x +c
  3. Cy= x+c
  4. Dy=2 x+c

Correct answer

A. y=e^x+c

Step-by-step solution

aligned & ( d y d x )=x & d y d x =e^x aligned Integrating both sides, we get d y= e^x d xy=e^x+C , where C= integration constant.

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