25 JEE Main 2023 Differential Equations previous-year questions with verified answers and step-by-step solutions.
These are the JEE Main 2023 previous-year questions from the Differential Equations chapter of Mathematics. Each links to a full solution with a verified answer key. To see the whole chapter across all years, visit the Differential Equations chapter hub.
If the solution curve of the differential equation ( y - 2 log e x ) d x + ( x log e x 2 ) d y = 0 ,   x > 1 p…
Let x = x y be the solution of the differential equation 2 y + 2 log e y + 2 d x + x + 4 - 2 log e y + 2 d y = 0 , y &#…
Let f : ℝ → ℝ be a differentiable function such that f ' x + f x = ∫ 0 2 f t d t . If f 0 = e -…
If y = y ( x ) is the solution of the differential equation d y d x + 4 x x 2 - 1 y = x + 2 x 2 - 1 5 2 , x > 1 …
Let y = y x be a solution curve of the differential equation, 1 - x 2 y 2 d x = y d x + x d y , If the line x = 1 inter…
Let   y = y x be the solution of the differential equation d y d x + 5 x x 5 + 1 y = x 5 + 1 2 x 7 ,   x >…
Let y = y x be the solution curve of the differential equation d y d x = y x 1 + x 2 1 + log e x , x > 0 , y ( 1 )…
The slope of tangent at any point x ,   y on a curve y = y x is x 2 + y 2 2 x y ,   x > 0 . If y 2 = 0 ,…
Let y = f ( x ) be the solution of the differential equation y ( x + 1 ) d x - x 2 d y = 0 ,   y ( 1 ) = e . Then…
Let y = y x ,   y > 0 , be a solution curve of the differential equation 1 + x 2 d y = y x - y d x . If y 0 =…
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