# Question #942da

##### 2 Answers

See below.

#### Explanation:

Posing

Substituting into the differential equation and simplifying, we can verify that it is identically satisfied.

A more simple approach is to consider

now

The substitution now is more direct, producing as expected

See the Proof In Explanation.

#### Explanation:

For the sake of brevity, we will use the notations

Diff.ing the given eqn., using the **Chain Rule,** we get,

Squaring,

Rediff.ing, using the **Product Rule,** we have,

Now, note the following results derived by the **Chain Rule** , and

the **Usual Rules of Diffn.** These will be substd. in

Therefore, by

Dividing throught by

**Enjoy Maths.!**