The variable y depends on x and the variables x and t are related by x =
Question:
The variable y depends on x and the variables x and t are related by x = 1/t. Show that
The variables x and y are related by the differential equation
Show that
Hence find the general solution for y in terms of x.
Transcribed Image Text:
dy dy dy and dt dy + 213 dt dx dx2
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ANSWER To prove the given identities lets start with the first one Given x 1t We need to find ddxy and t2 ddty To find ddxy well use the chain rule dd...View the full answer
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Related Book For
Cambridge International AS & A Level Further Mathematics Coursebook
ISBN: 9781108403375
1st Edition
Authors: Lee Mckelvey, Martin Crozier
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