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  • Class 12 Maths Study Material

An Educational platform for Preparation and Practice Class 12. Kidsfront provide unique pattern of learning Maths with free online comprehensive study material in the form of QUESTION & ANSWER for each Chapter of Maths for Class 12. This study material help Class 12, Maths students in learning every aspect of Differential Equations. Students can understand Differential Equations concept easily and consolidate their learning by doing Online Practice Tests on Maths,Differential Equations chapter repeatedly till they excel in Class 12, Differential Equations. Free ONLINE PRACTICE TESTS on Class 12, Differential Equations comprise of Hundreds of Questions on Differential Equations, prepared by the highly professionals team. Every repeat test of Differential Equations will have new set of questions and help students to prepare themselves for exams by doing unlimited Online Test exercise on Differential Equations. Attempt ONLINE TEST on Class 12,Maths,Differential Equations in Academics section after completing this Differential Equations Question Answer Exercise.


Unique pattern

  • Topic wise:Differential Equations preparation in the form of QUESTION & ANSWER.
  • Evaluate preparation by doing ONLINE TEST of Class 12, Maths,Differential Equations.
  • Review performance in PRACTICE TEST and do further learning on weak areas.
  • Attempt repeat ONLINE TESTS of Maths Differential Equations till you excel.
  • Evaluate your progress by doing ONLINE MOCK TEST of Class 12, Maths, All TOPICS.


Differential Equations
Determine the order of the equation y` + 5y = 0.

a) 0
b) 1
c) 2
d) 3



Answer
Correct Answer Is : 1
Solution Is :
Determine the order of the equation (d^2y/dx^2)^2 + cos (dy/dx) = 0.

a) 0
b) 1
c) 2
d) 3



Answer
Correct Answer Is : 2
Solution Is :
Determine the order of the equation y` + y = e^x.

a) 0
b) 1
c) 2
d) 3



Answer
Correct Answer Is : 1
Solution Is :
True or false: y = e^x + 1: y" - y` = 0

a) TRUE
b) FALSE
c) Maybe
d) None of these



Answer
Correct Answer Is : TRUE
Solution Is :
The number of constants in general solution of a differential equation of order n is equal to its ____________ .

a) Order
b) Degree
c) Difference of order and degree
d) None of these



Answer
Correct Answer Is : Order
Solution Is :
The numbers of arbitrary constants in general solution of a differential equation of fourth order is?

a) 1
b) 2
c) 3
d) 4



Answer
Correct Answer Is : 4
Solution Is :
The equation of parabola having the vertex at origin and the axis along the positive y-axis is:

a) X^2 = 4ay
b) X^2 = 4ay^2
c) Y^2 = 4ax
d) Y^2 = 4ax^2



Answer
Correct Answer Is : X^2 = 4ay
Solution Is :
True or false:the differential equation has y=x as one of its partial solution (d^2y/dx^2 -x^2 dy/dx + xy =x).

a) TRUE
b) FALSE
c) Maybe
d) None of these



Answer
Correct Answer Is : FALSE
Solution Is :
Evaluate : dy/dx = (1 - cos x)/(1 + cos x)

a) Y = 2tan (x/2)
b) Y = 2tan (x/2) - x
c) Y = 2tan (x/2) + x
d) Y = 2tan (x/2) - x + c



Answer
Correct Answer Is : Y = 2tan (x/2) - x + c
Solution Is :
Evaluate: dy/dx = (1 + x^2)(1 + y^2)

a) Tan ^-1 y = x + c
b) Tan ^-1 y = x + (x/y)+ c
c) Tan ^-1 y = (x^3/3)+ c
d) Tan ^-1 y = x + (x^3/3)+ c



Answer
Correct Answer Is : Tan ^-1 y = x + (x^3/3)+ c
Solution Is :
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