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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 ofin 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.

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