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  • Quantitative Aptitude Practice Calculus 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 Calculus Differential Equations for Quantitative Aptitude Practice student. This free online Calculus study material for Quantitative Aptitude Practice will help students in learning and doing practice on Differential Equations topic of Quantitative Aptitude Practice Calculus. The study material on Differential Equations, help Quantitative Aptitude Practice Calculus 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 Calculus with free online comprehensive study material and loads of Quantitative Aptitude Practice Calculus 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 Calculus 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 :

Preparation for Exams