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Test: Differential Equations- 2


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25 Questions MCQ Test Mathematics (Maths) Class 12 | Test: Differential Equations- 2

Test: Differential Equations- 2 for JEE 2022 is part of Mathematics (Maths) Class 12 preparation. The Test: Differential Equations- 2 questions and answers have been prepared according to the JEE exam syllabus.The Test: Differential Equations- 2 MCQs are made for JEE 2022 Exam. Find important definitions, questions, notes, meanings, examples, exercises, MCQs and online tests for Test: Differential Equations- 2 below.
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Test: Differential Equations- 2 - Question 1

The degree of the equation 

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2

Test: Differential Equations- 2 - Question 2

General solution of 

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Test: Differential Equations- 2 - Question 3

In a bank, principal increases continuously at the rate of 5% per year. An amount of Rs1000 is deposited with this bank, how much will it worth after 10 years (e0.5= 1.648).

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When P = 1000 and t = 0 ., then ,
c = 1000, therefore, we have :

Test: Differential Equations- 2 - Question 4

At any point (x, y) of a curve, the slope of the tangent is twice the slope of the line segment joining the point of contact to the point (– 4, –3). Find the equation of the curve given that it passes through (–2, 1).

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Slope of the line segment joining the point of contact P (x , y) to the point (- 4 , - 3) = 



Test: Differential Equations- 2 - Question 5

Solution of 

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Test: Differential Equations- 2 - Question 6

Find the order and degree of  

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Order = 3 , degree not defined ,because the function y’ present in exponential form.

Test: Differential Equations- 2 - Question 7

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Test: Differential Equations- 2 - Question 8

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Test: Differential Equations- 2 - Question 9

Solution of x dy− ydx = 

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Test: Differential Equations- 2 - Question 10

 

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Test: Differential Equations- 2 - Question 11

Determine order and degree (if defined) of  

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Order = 4 , degree not defined , because the function y’’’ present in the angle of sine function.

Test: Differential Equations- 2 - Question 12

General solution of sec2 x tany dx + sec2y tan x dy = 0 is

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Test: Differential Equations- 2 - Question 13

Find the particular solution for (x + y) dy + (x –y) dx = 0; y = 1 when x = 1

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Test: Differential Equations- 2 - Question 14

Variable separation method can be used to solve First Order, First Degree Differential Equations in which y’ is of the form.

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Variable separation method can be used to solveFirst Order, First Degree Differential Equations in which y’ is of the form. y’ = h(x)g(y) i.e 

Test: Differential Equations- 2 - Question 15

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Test: Differential Equations- 2 - Question 16

Determine order and degree (if defined) of y’ + 5y = 0

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Order = 1 , degree = 1.

Test: Differential Equations- 2 - Question 17

General Solution of (ex + e-x) dy - (ex - e-x) dx = 0

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Test: Differential Equations- 2 - Question 18

General solution of x 

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Test: Differential Equations- 2 - Question 19

solution of {x cos (y/x) + ysin(y/x)} ydx = {ysin(y/x) - x cos (y/x)} xdy is 

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Test: Differential Equations- 2 - Question 20

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Test: Differential Equations- 2 - Question 21

Determine order and degree (if defined) of 

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Order = 2 , degree = 1.

Test: Differential Equations- 2 - Question 22

General solution of y log y dx – x dy = 0

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Test: Differential Equations- 2 - Question 23

To form a differential equation from a given function

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To form a differential equation from a given functionDifferentiate thefunction successively as many times as the number of arbitrary constants inthe given function and eliminate the arbitrary constants.i.e. the differential equation should be free from arbitrary constants.

Test: Differential Equations- 2 - Question 24

A differential equation of the form y' = F(x,y) is homogeneous if

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A differential equation of the form y' = F(x,y) is homogeneous if F(x,y) is a homogeneous function of degree zero.

Test: Differential Equations- 2 - Question 25

General solution of(1+x2) dy+2xy dx = cot x dx(x ≠ 0) is

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