Find the value of the constant k such that y = kx 2 e 2x is a

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Find the value of the constant k such that y = kx²e^2x is a particular integral of the differential equation

Hence find the general solution of (*).

Find the particular solution of (*) such that y = 3 and dy/dx = -2 when x = 0.

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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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Find the value of the constant k such that y = kx 2 e 2x is a

Question:

d?y dy 4 + 4y = 4e 2x. (*) dx dx?

Step by Step Answer:

Since y kx 2 e 2x is the particular integral of given differential equation so y must satisfy given ...View the full answer

Cambridge International AS & A Level Further Mathematics Coursebook

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