Chapter 9 Differential Equations Ex 9.6 Solutions
Question - 1 : -
Answer - 1 : -
The given differential equation is
This is in the form of
The solution of the given differential equation is givenby the relation,
Therefore, equation (1) becomes:
This is the required general solution of thegiven differential equation.
Question - 2 : -
Answer - 2 : -
The given differential equation is
The solution of the given differential equation is givenby the relation,
This is the required general solution of thegiven differential equation.
Question - 3 : -
Answer - 3 : -
The given differential equation is:
The solution of the given differential equation is givenby the relation,
This is the required general solution of thegiven differential equation.
Question - 4 : -
Answer - 4 : -
The given differential equation is:
The general solution of the given differential equation isgiven by the relation,
Question - 5 : -
Answer - 5 : -
The given differential equation is:
This equation is in the form of:
The general solution of the given differential equation isgiven by the relation,
Therefore, equation (1) becomes:
Question - 6 : -
Answer - 6 : -
The given differential equation is:
This equation is in the form of a linear differentialequation as:
The general solution of the given differential equation isgiven by the relation,
Question - 7 : -
Answer - 7 : -
The given differential equation is:
This equation is the form of a linear differentialequation as:
The general solution of the given differential equation isgiven by the relation,
Substituting the value of in equation (1), we get:
This is the required general solution of thegiven differential equation.
Question - 8 : -
Answer - 8 : -
This equation is a linear differential equation of theform:
The general solution of the given differential equation isgiven by the relation,
Question - 9 : -
Answer - 9 : -
This equation is a linear differential equation of theform:
The general solution of the given differential equation isgiven by the relation,
Question - 10 : -
Answer - 10 : -
This is a linear differential equation of the form:
The general solution of the given differential equation isgiven by the relation,