Chapter 9 Differential Equations Ex 9.2 Solutions
Question - 1 : -
Answer - 1 : -
Differentiating both sides of this equationwith respect to x,we get:

Now, differentiating equation (1) with respect to x,we get:

Substitutingthe values of
in the given differentialequation, we get the L.H.S. as:

Thus, the given function is the solution of thecorresponding differential equation.
Question - 2 : -
Answer - 2 : -
Differentiating both sides of this equationwith respect to x,we get:

Substitutingthe value of
in the given differentialequation, we get:
L.H.S. =
= R.H.S.
Hence, the given function is the solution of thecorresponding differential equation.
Question - 3 : -
Answer - 3 : -

Differentiating both sides of this equationwith respect to x,we get:

Substitutingthe value of
in the given differentialequation, we get:
L.H.S. =
= R.H.S.
Hence, the given function is the solution of thecorresponding differential equation.
Question - 4 : -
Answer - 4 : -
Differentiating both sides of the equationwith respect to x,we get:

L.H.S. = R.H.S.
Hence, the given function is the solution of thecorresponding differential equation.
Question - 5 : -
Answer - 5 : -
Differentiating both sides with respect to x,we get:

Substitutingthe value of
in the given differentialequation, we get:

Hence, the given function is the solution of thecorresponding differential equation.
Question - 6 : -
Answer - 6 : -
Differentiating both sides of this equationwith respect to x,we get:

Substitutingthe value of
in the given differentialequation, we get:

Hence, the given function is the solution of thecorresponding differential equation.
Question - 7 : -
Answer - 7 : -
Differentiating both sides of this equationwith respect to x,we get:

L.H.S.= R.H.S.
Hence, the given function is the solution of thecorresponding differential equation.
Question - 8 : -
Answer - 8 : -
Differentiating both sides of the equationwith respect to x,we get:

Substitutingthe value of
in equation (1), we get:

Hence, the given function is the solution ofthe corresponding differential equation.
Question - 9 : -
Answer - 9 : -

Differentiating both sides of this equationwith respect to x,we get:

Substitutingthe value of
in the given differentialequation, we get:

Hence, the given function is the solution of thecorresponding differential equation.
Question - 10 : -
Answer - 10 : -

Differentiating both sides of this equationwith respect to x,we get:

Substitutingthe value of
in the given differentialequation, we get:

Hence, the given function is the solution of thecorresponding differential equation.