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Differential Equations - 1 - JEE MCQ


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30 Questions MCQ Test Mathematics (Maths) for JEE Main & Advanced - Differential Equations - 1

Differential Equations - 1 for JEE 2024 is part of Mathematics (Maths) for JEE Main & Advanced preparation. The Differential Equations - 1 questions and answers have been prepared according to the JEE exam syllabus.The Differential Equations - 1 MCQs are made for JEE 2024 Exam. Find important definitions, questions, notes, meanings, examples, exercises, MCQs and online tests for Differential Equations - 1 below.
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Differential Equations - 1 - Question 1


Detailed Solution for Differential Equations - 1 - Question 1


Differential Equations - 1 - Question 2

The differential equation of the curve for which the normal at every point passes through a fixed point (h, k) is

Detailed Solution for Differential Equations - 1 - Question 2


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Differential Equations - 1 - Question 3


Detailed Solution for Differential Equations - 1 - Question 3

Since the equation is not a polynomial in all the differential coefficients so the degree is not defined.

Differential Equations - 1 - Question 4


Detailed Solution for Differential Equations - 1 - Question 4


Differential Equations - 1 - Question 5

The differential equation of the family of curves represented by y = a + bx + ce–x (where a, b, c are abritrary constants) is -

Detailed Solution for Differential Equations - 1 - Question 5


Differential Equations - 1 - Question 6


Detailed Solution for Differential Equations - 1 - Question 6


Differential Equations - 1 - Question 7

Solution of differential equation (2x cos y + y2 . cos x)dx + (2y . sin x – x2 . sin y)dy = 0 is –

Detailed Solution for Differential Equations - 1 - Question 7


Differential Equations - 1 - Question 8


Detailed Solution for Differential Equations - 1 - Question 8


Differential Equations - 1 - Question 9

The solution of the differential equation y lny + xy' = 0, where y (1) = e, is

Detailed Solution for Differential Equations - 1 - Question 9


Differential Equations - 1 - Question 10

The degree of the differential equation, of which y2 = 4a (x + a) is a solution, is -

Detailed Solution for Differential Equations - 1 - Question 10


Differential Equations - 1 - Question 11


Detailed Solution for Differential Equations - 1 - Question 11


Differential Equations - 1 - Question 12


Detailed Solution for Differential Equations - 1 - Question 12


Differential Equations - 1 - Question 13


Detailed Solution for Differential Equations - 1 - Question 13


Differential Equations - 1 - Question 14


Detailed Solution for Differential Equations - 1 - Question 14

Differential Equations - 1 - Question 15

Water is drained from a vertical cylindrical tank by opening a valve at the base of the tank. It is known that the rate at which the water level drops is proportional to the square root of water depth y, where the constant of proportionality k > 0 depends on the acceleration due to gravity and the geometry of the hole. If t is measured in minutes and k = 1/15 then the time to drain the tank if the water is 4 meter deep to start with is

Detailed Solution for Differential Equations - 1 - Question 15


Differential Equations - 1 - Question 16


Detailed Solution for Differential Equations - 1 - Question 16


Differential Equations - 1 - Question 17


Detailed Solution for Differential Equations - 1 - Question 17


Differential Equations - 1 - Question 18


Detailed Solution for Differential Equations - 1 - Question 18


Differential Equations - 1 - Question 19


Detailed Solution for Differential Equations - 1 - Question 19


Differential Equations - 1 - Question 20

Family y = Ax + A3 of curve represented by the differential equation of degree -

Detailed Solution for Differential Equations - 1 - Question 20


Differential Equations - 1 - Question 21

The differential equation of the family of curves y = Ae3x + Be5x, where A and B are arbitrary constants, is -

Detailed Solution for Differential Equations - 1 - Question 21


Differential Equations - 1 - Question 22


Detailed Solution for Differential Equations - 1 - Question 22


Differential Equations - 1 - Question 23


Detailed Solution for Differential Equations - 1 - Question 23

None of these (due to cos)

Differential Equations - 1 - Question 24

The solution of  the differential equation  y lny + xy' = 0, where y (1) = e, is

Detailed Solution for Differential Equations - 1 - Question 24


Differential Equations - 1 - Question 25

A function y = f (x) satisfies the differential equation f(x) · sin 2x – cos x + (1 + sin2x) f ' (x) = 0 with initial condition y (0) = 0. The value of f (π/6) is equal to

Detailed Solution for Differential Equations - 1 - Question 25


Differential Equations - 1 - Question 26


Detailed Solution for Differential Equations - 1 - Question 26

In ΔPNQ,

Differential Equations - 1 - Question 27


Detailed Solution for Differential Equations - 1 - Question 27


Differential Equations - 1 - Question 28

The solution of (y + x + 5)dy = (y – x + 1) dx is

Detailed Solution for Differential Equations - 1 - Question 28


Differential Equations - 1 - Question 29

The order of the differential equation of all tangent lines to the parabola y = x2 is

Detailed Solution for Differential Equations - 1 - Question 29


Differential Equations - 1 - Question 30


Detailed Solution for Differential Equations - 1 - Question 30


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