JEE Main 2024 — Differential Equations Questions with Solutions

The solution curve of the differential equation y d x d y = x log e x - log e y + 1 , x > 0 , y > 0 passing through the…

The temperature T t of a body at time t = 0 is 160 ° F and it decreases continuously as per the differential equation d…

Let α be a non-zero real number. Suppose f : R → R is a differentiable function such that f 0 = 1 and lim x → − ∞ f x =…

If d x d y = 1 + x − y 2 y , x 1 = 1 , then 5 x 2 is equal to:

If the solution curve y = y ( x ) of the differential equation 1 + y 2 1 + log e x d x + x d y = 0 , x > 0 passes throu…

If the solution curve, of the differential equation d y d x = x + y - 2 x - y passing through the point ( 2 , 1 ) is ta…

Let α|x|=|y| ex y⁻β, α, β N be the solution of the differential equation x ~d y-y ~d x+x y(x ~d y+y ~d x)=0, y(1)=2. Th…

If sin y x = log e | x | + α 2 is the solution of the differential equation x cos y x d y d x = y cos y x + x and y ( 1…

Let y=y(x) be the solution curve of the differential equation y d y~d x+2 x y=x³ y, y(1)=0. Then y(√(3)) is equal to :

Let y=y(x) be the solution of the differential equation (x²+4 )² d y+ (2 x³ y+8 x y-2 ) d x=0. If y(0)=0, then y(2) is…