The initial conditions for the differential equation a Show that the particular integral must be of the form h t 2 e 1 2t and find the value of b Hence, determine the particular solution d h 4 dr dh dh 4 a h 4e2 are h 0, dt 0 when t 0 3D dt...

ANSWER We are given the differential equation 4 d 2 hd t 2 4 ddt h h 4e 12 t The associated homogene ...

The initial conditions for the differential equation a. Show that the particular integral must be of the

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The initial conditions for the differential equation

a. Show that the particular integral must be of the form h = αt²e^1/2t and find the value of α.

b. Hence, determine the particular solution.

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Cambridge International AS & A Level Further Mathematics Coursebook

ISBN: 9781108403375

1st Edition

Authors: Lee Mckelvey, Martin Crozier

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Question Posted: Oct 15, 2021 01:00 AM

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The initial conditions for the differential equation a. Show that the particular integral must be of the

Question:

d?h 4. dr? dh dh - 4 a + h = 4e2" are h= 0, dt = 0 when t= 0. %3D dt

Step by Step Answer:

ANSWER We are given the differential equation 4 d 2 hd t 2 4 ddt h h 4e 12 t The associated homogene...View the full answer

Cambridge International AS & A Level Further Mathematics Coursebook

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