Show that, with a suitable value of the constant , the substitution y = x w
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Show that, with a suitable value of the constant α, the substitution y = xαw reduces the differential equation
Find the general solution for y in the case where f(x) = 6 sin 2x + 7 cos 2x.
Transcribed Image Text:
+ (3x + 8x)+ (x + 6x + 4)y = f(x) to 2 dy dx d?w dw dx? + w = f(x). + 3 dx? dx
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ANSWER o show that the substitution y xw reduces the given differential equation y 2xy 2x2y fx We fi...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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