Show that y(t)= t2 can never be a solution of (3) if the functions p(t) and q(t) are

Chapter 2, Problem 10

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QUESTION:

Show that y(t)= t2 can never be a solution of (3) if the functions p(t) and q(t) are continuous at t =O.

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QUESTION:

Show that y(t)= t2 can never be a solution of (3) if the functions p(t) and q(t) are continuous at t =O.

ANSWER:

Step 1 of 2

It is given that,

.

Also,  implies,

.

To show that can never be a solution of  if the functions  and  are continuous at .

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