JEE Advanced Mathematics: Differential Equations Practice Questions

6 questions with answers and step-by-step solutions. Tap any question to see the full worked solution.

Q1.
$Find the general solution of dy/dx = 1.$
Easy
Q2.
$F in d t h e in t e g r a t in g f a c t or o f t h e d i f f er e n t ia l e q u a t i o n d y / d x + y = e^{-} x .$
Easy
Q3.
$F in d t h eor d er an dd e g r eeo f t h e d i f f er e n t ia l e q u a t i o n (d^{2} y / d x^{2})^{3} + (d y / d x)^{2} + s in (y) = 0.$
Easy
Q4.
$S o l v e t h e d i f f er e n t ia l e q u a t i o n d y / d x = e^{(} x + y) .$
Easy
Q5.
$Find the solution of the differential equation dy/dx = (x + y - 2)/(x - y + 4) given that it passes through the point (1, 1).$
Medium
Q6.
$L e t y (x) b e a so l u t i o n o f t h e d i f f er e n t ia l e q u a t i o n (x^{2} + 1) d y / d x + 2 x y = 4 x^{2} . I f y (0) = 2, t h e n f in d t h e v a l u eo f y (2) .$
Medium

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Differential Equations — JEE Advanced Mathematics Practice Questions with Solutions | SolveGini