Chapter 9 Differential Equations Ex 9.4 Solutions
Question - 1 : - 
Answer - 1 : -
The given differential equation is:
Now, integrating both sides of this equation, we get:
This is the required general solution of the given differential equation.
Question - 2 : - 
Answer - 2 : -
The given differential equation is:
Now, integrating both sides of this equation, we get:
This is the required general solution of the given differential equation.
Question - 3 : - 
Answer - 3 : -
Thegiven differential equation is:
Now,integrating both sides, we get:
Thisis the required general solution of the given differential equation.
Question - 4 : - 
Answer - 4 : -
Thegiven differential equation is:
Integratingboth sides of this equation, we get:
Substitutingthese values in equation (1), we get:
Thisis the required general solution of the given differential equation.
Question - 5 : - 
Answer - 5 : -
Thegiven differential equation is:
Integratingboth sides of this equation, we get:
Let (ex + e–x) = t.
Differentiating both sides with respectto x, we get:
Substitutingthis value in equation (1), we get:
Thisis the required general solution of the given differential equation.
Question - 6 : - 
Answer - 6 : -
Thegiven differential equation is:
Integratingboth sides of this equation, we get:
Thisis the required general solution of the given differential equation.
Question - 7 : - 
Answer - 7 : -
Thegiven differential equation is:
Integratingboth sides, we get:
Substitutingthis value in equation (1), we get:
Thisis the required general solution of the given differential equation.
Question - 8 : - 
Answer - 8 : -
Thegiven differential equation is:
Integratingboth sides, we get:
Thisis the required general solution of the given differential equation.
Answer - 9 : -
Thegiven differential equation is:
Integratingboth sides, we get:
Substitutingthis value in equation (1), we get:
Thisis the required general solution of the given differential equation.
Question - 10 : - 
Answer - 10 : -
Thegiven differential equation is:
Integratingboth sides, we get:
Substitutingthe values of 
in equation (1), we get:
Thisis the required general solution of the given differential equation.