Concept explainers
(a) Use the result of Problem 33 to show that the solution of the initial value problem
is
(b) Use the result of Problem 32 to find the solution of the initial value problem
33. By choosing the lower limit of
Show that
Thus
32. Show that the solution of the initial value problem
can be written as
respectively. In other words, the nonhomogeneities in the differential equation and in the initial conditions can be dealt with separately. Observe that
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Differential Equations: An Introduction to Modern Methods and Applications
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