Question Library
Browse our collection of questions across various subjects
Mathematics
Easy
View
What is the general solution of the differential equation e^x tan y dx + (1 – e^x) sec^2 y dy…
NDA Mathematics 2012
NDA 2012
Mathematics
Easy
View
What is the general solution of the differential equation x^2 dy + y^2 dx = 0 ?
NDA Mathematics 2012
NDA 2012
Mathematics
Easy
View
For the differential equation (dy/dx)^2 – x(dy/dx) + y = 0, which one of the following is not its solution…
NDA Mathematics 2012
NDA 2012
Mathematics
Easy
View
The differential equation y dy/dx + x = a where ‘a’ is any constant represents :
NDA Mathematics 2012
NDA 2012
Mathematics
Easy
View
The differential equation representing the family of curves y = a sin(λx + α) is :
NDA Mathematics 2012
NDA 2012
Mathematics
Easy
View
Consider a differential equation of order m and degree n. Which one of the following pairs is not feasible ?
NDA Mathematics 2012
NDA 2012
Mathematics
Easy
View
What is the degree of the differential equation d^3y/dx^3 + 2(d^2y/dx^2)^2 – dy/dx + y = 0 ?
NDA Mathematics 2012
NDA 2012
Mathematics
Easy
View
What is the area of the region bounded by the lines y = x, y = 0 and x =…
NDA Mathematics 2012
NDA 2012
Mathematics
Easy
View
What is the area of the portion of the curve y = sin x, lying between x = 0, y…
NDA Mathematics 2012
NDA 2012
Mathematics
Easy
View
What is ∫ 0 to π/2 (sin 2x ln(cot x)) dx equal to ?
NDA Mathematics 2012
NDA 2012
Mathematics
Easy
View
What is ∫ 0 to 1 (tan^-1 x)/(1+x^2) dx equal to ?
NDA Mathematics 2012
NDA 2012
Mathematics
Easy
View
If y = ln(e^x + e^-x), then what is dy/dx at x = 0 equal to ?
NDA Mathematics 2012
NDA 2012
Mathematics
Easy
View
Let A = {x ∈ R | x ≥ 0}. A function f : A → A is defined by…
NDA Mathematics 2012
NDA 2012
Mathematics
Easy
View
Consider the following statements : 1.If f(x) = x^3 and g(y) = y^3 then f = g. 2.Identity function is…
NDA Mathematics 2012
NDA 2012
Mathematics
Easy
View
The function f(x) = x^3 – 3x^2 + 6 is an increasing function for :
NDA Mathematics 2012
NDA 2012