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1.
The differential equation representing the family of curves 
(
is a constant) is
( is a constant) is
2.
The degree and order of the differential equation 
, where 
, are respectively
, where , are respectively
3.
The degree of the differential equation 
, is
, is
4.
If 
, then 
, then
5.
The solution of the differential equation 
, is
, is
6.
To reduce the differential equation 
to the linear form, the substitution is
to the linear form, the substitution is
7.
The equation of the curve whose subnormal is equal to a constant 
is
is
8.
A particle starts at the origin and moves along the 
-axis in such a way that its velocity at the point 
is given by the formula 
. Then, the particle never reaches the point on
-axis in such a way that its velocity at the point is given by the formula . Then, the particle never reaches the point on
9.
The solution of the equation 
is
is
10.
The solution of the equation 
is
is