Differential Equations and Linear Algebra (4th Edition)

Published by Pearson
ISBN 10: 0-32196-467-5
ISBN 13: 978-0-32196-467-0

Chapter 1 - First-Order Differential Equations - 1.1 Differential Equations Everywhere - Problems: 5

Answer

The answer requires a proof as shown below.

Work Step by Step

Lets determine the right hand side of the equation first (RHS). $y^{'}$ = 1/t $y^{''}$ = -1/$t^{2}$ $y^{'''}$ = 2/$t^{3}$ = RHS Now lets determine the left hand side of the equation (LHS). 2$(y^{'})^{3}$ = 2($(1/t)^{3}$ = 2/$t^{3}$ = LHS As LHS = RHS, the equation is satisfied.
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