Learn Maths Differential Equations, Class 12 Maths Differential Equations Exercise, Free Online Differential Equations Lessons

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.

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Topic wise:Differential Equations preparation in the form of QUESTION & ANSWER.
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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

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Class 12 Maths Study Material

Differential Equations

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

Correct Answer Is : 1

Solution Is :

Determine the order of the equation (d^2y/dx^2)^2 + cos (dy/dx) = 0.

Correct Answer Is : 2

Solution Is :

Determine the order of the equation y` + y = e^x.

Correct Answer Is : 1

Solution Is :

True or false: y = e^x + 1: y" - y` = 0

Correct Answer Is : TRUE

Solution Is :

The number of constants in general solution of a differential equation of order n is equal to its ____________ .

Correct Answer Is : Order

Solution Is :

The numbers of arbitrary constants in general solution of a differential equation of fourth order is?

Correct Answer Is : 4

Solution Is :

The equation of parabola having the vertex at origin and the axis along the positive y-axis is:

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).

Correct Answer Is : FALSE

Solution Is :

Evaluate : dy/dx = (1 - cos x)/(1 + cos x)

Correct Answer Is : Y = 2tan (x/2) - x + c

Solution Is :

Evaluate: dy/dx = (1 + x^2)(1 + y^2)

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

Solution Is :

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