The variables x and u are related by ux 2 The variable y is dependent on x a Show that b Show also that reduces to 16d 2 y du 2 8 dy du y u and find the general solution in the form y f(u) c Given that y 4 and dy du 2 when u 0, find the particular solution in the form y g(x) dy 2 x du dy and 4 dx d...

ANSWER a Starting from the given relation ux 2 we can differentiate it with respect to u using the c ...

The variables x and u are related by ux = 2. The variable y is dependent on

Question:

The variables x and u are related by ux = 2. The variable y is dependent on x.

a. Show that

b. Show also that

reduces to 16d²y/du² – 8 dy/du + y = u and find the general solution in the form y = f(u).

c. Given that y = 4 and dy/du = 2 when u = 0, find the particular solution in the form y = g(x).

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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 variables x and u are related by ux = 2. The variable y is dependent on

Question:

dy -2-=x du dy and 4 dx d?y d?y + 2x3. dx dy du? dx2

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ANSWER a Starting from the given relation ux 2 we can differentiate it with respect to u using the c...View the full answer

Cambridge International AS & A Level Further Mathematics Coursebook

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