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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,

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