JEE Main · MathematicsEasy

$\frac{d y}{d x} = 1$

A. $y = x^{2} + C$
B. $y = C$
C. $y = x + C$
D. $y = 1 + C$

Show correct answer & step-by-step solution

Correct answer: C — $y = x + C$

Solution

Integrating both sides of d y = d x gives y = x + C . This represents a family of straight lines with slope 1 .

Attempt this question & track your score

Sign up free to answer, get instant scoring, and let SolveGini track which Mathematics topics you need to revise.

Attempt & Track Free →

More Differential Equations practice questions

$F in d t h e g e n er a l so l u t i o n o f t h e d i f f er e n t ia l e q u a t i o n d y / d x = e^{(} x + y) .$
$W ha t i s t h e in t e g r a t in g f a c t or o f t h e d i f f er e n t ia l e q u a t i o n d y / d x + y = e^{x} ?$
$W ha t i s t h eor d er an dd e g r eeo f t h e d i f f er e n t ia l e q u a t i o n d 2 y / d x 2 + (d y / d x)^{3} + y = 0 ?$
$Which of the following is a linear differential equation?$
$Find the solution of the differential equation dy/dx = (x + y) / (x - y) with the initial condition y(1) = 0.$
$T h e g e n er a l so l u t i o n o f t h e d i f f er e n t ia l e q u a t i o n d y / d x + y / x = x^{2} i s :$
$T h eso l u t i o n o f t h e d i f f er e n t ia l e q u a t i o n d y / d x = e^{(} x - y) + x^{2} e^{(} - y) i s :$
$What is the integrating factor of the differential equation dy/dx + y tan x = sec x?$
$F in d t h eor d er an dd e g r eeo f t h e d i f f er e n t ia l e q u a t i o n d^{2} y / d x^{2} = (1 + (d y / d x)^{2})^{(} 3/2) .$
$F in d t h eso l u t i o n o f t h e d i f f er e n t ia l e q u a t i o n (x^{2} + y^{2}) d x - 2 x y d y = 0 g i v e n t ha t y (1) = 1.$
$If y(x) satisfies the differential equation dy/dx + y tan(x) = sec(x) and y(0) = 0, then find the value of y(pi/4).$
$S o l v e t h e d i f f er e n t ia l e q u a t i o n (d y / d x)^{2} - (e^{x} + e^{-} x) d y / d x + 1 = 0.$

View all Differential Equations questions →

The solution of the differential equation dy/dx = 1 is: — JEE Main Mathematics Question with Solution | SolveGini