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

Class 12 Maths Study Material

Digitization help student to explore and study their academic courses online, as this gives them flexibility and scheduling their learning at their convenience. Kidsfront has prepared unique course material of Maths Differential Equations for Class 12 student. This free online Maths study material for Class 12 will help students in learning and doing practice on Differential Equations topic of Class 12 Maths. The study material on Differential Equations, help Class 12 Maths students to learn every aspect of Differential Equations and prepare themselves for exams by doing online test exercise for Differential Equations, as their study progresses in class. Kidsfront provide unique pattern of learning Maths with free online comprehensive study material and loads of Class 12 Maths Differential Equations exercise prepared by the highly professionals team. Students can understand Differential Equations concept easily and consolidate their learning by doing practice test on Differential Equations regularly till they excel in Maths Differential Equations.

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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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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