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Revision Quiz on Differential Equations
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Question 1
If the differential equation representing the family of all circles touching x-axis at the origin is 
then 
equals :
then equals : Question 2
The differential equation for all the straight lines which are at a unit distance from the origin is
Question 3
The differential equation representing the family of ellipses having foci either on the x-axis or on the y-axis, centre at the origin and passing through the point (0, 3) is :
Question 4
The solution of differential equation (x2 + 2x – 3)dy = (y2 – y – 2)dx is
Question 5
The solution of the differential equation is:
Question 6
The solution of the differential equation 
Question 7
If sin2 x+cos2 y = 1, then 
is equal to
is equal to Question 8
The solution of the differential equation 
is
is Question 9
The solution of the differential equation 
=
is
= is Question 10
The solution of the different equation
= y satisfies x = 1, y = 1. Then the solution is
= y satisfies x = 1, y = 1. Then the solution isQuestion 11
The order and degree of the differential equation are
Question 12
The order and degree of the differential equation
Question 13
The order of the differential equation of all parabolas whose axis of symmetry along x-axis is
Question 14
The order and power of differential equation
is
is Question 15
The differential equation for the family of curves x2+y2-2ay=0, where a is an arbitrary constant is
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