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JEE 2020 Mathematics: Introduction to Differential Equations Quiz 1 (05.08.2019)
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Question 1
The question has FOUR options. ONLY ONE of these four options is the correct answer.
If y = y(x) satisfies the differential equation 
x > 0 and y(0) = √7 , then y(256) =
x > 0 and y(0) = √7 , then y(256) =Question 2
The curve amongst the family of curves represented by the differential equation, (x2 – y2)dx + 2xy dy = 0 which passes through (1, 1), is :
Question 3
and
, then 
equals : Question 4
Statement 1: The degrees of the differential equations 
and 
are equal.
and are equal.
Statement 2: The degree of a differential equation, when it is a polynomial equation in derivatives, is the highest positive integral power of the highest order derivative involved in the differential equation, otherwise degree is not defined.
Question 5
Let f be a differentiable function such that 
and 
, Then 
:
and , Then : Question 6
The integrating factor of the differential equation 
is
isQuestion 7
If a curve passes through the point 
and has slope 
at any point (x, y) on it , then the ordinate of the point on the curve whose abscissa is – 2 is :
and has slope at any point (x, y) on it , then the ordinate of the point on the curve whose abscissa is – 2 is :
Question 8
The general solution of the differential 
is
is
Question 9
The solution of the equation 
when x = 1, y = 0 and 
is
when x = 1, y = 0 and is
Question 10
The solution of 
is
is
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