42 JEE Main 2021 Differential Equations previous-year questions with verified answers and step-by-step solutions.
These are the JEE Main 2021 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.
Let y = y x be the solution of the differential equation x d y = y + x 3 cos x d x with y π = 0 , then y π 2…
Let y = y ( x ) be the solution of the differential equation x + 2 e y + 1 x + 2 + y + 1 d x = x + 2 d y ,   y 1 =…
Let y = y x be the solution of the differential equation e x 1 - y 2   d x + y x d y = 0 ,   y 1 = - 1 Then t…
The rate of growth of bacteria in a culture is proportional to the number of bacteria present and the bacteria count is…
Let y = y x be the solution of the differential equation x - x 3 d y = y + y x 2 - 3 x 4 d x , x > 2 If y 3 = 3 , t…
Let y = y ( x ) be solution of the following differential equation e y d y d x - 2 e y sin x + sin x cos 2 x = 0 , …
If y d y   d x = x y 2 x 2 + ϕ y 2 x 2 ϕ ' y 2 x 2 ,   x > 0 ,   ϕ > 0 , and y (…
Let slope of the tangent line to a curve at any point P x , y be given by x y 2 + y x . If the curve intersects the lin…
Let f be a twice differentiable function defined on R such that f 0 = 1 ,   f ' 0 = 2 and f ' x ≠ 0 for all…
If y = y x is the solution of the differential equation d y d x + tan x y = sin x , 0 ≤ x ≤ π 3 , with…
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