Verify that x 2 y ' e y 0 is separable (a) Write it as e dy x dx (b) Integrate both sides to obtain e x C (c) Verify that y ln(x C) is the general solution (d) Find the particular solution satisfying y(2) 4 ...

Solving xy ey 0 for y yields y xey a Separating variables in the last eq ...

Verify that x 2 y' + e y = 0 is separable. (a) Write it as e

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Verify that x²y' + e^−y= 0 is separable.

(a) Write it as e dy = -x dx. (b) Integrate both sides to obtain e = x + C. (c) Verify that y = ln(x+C) is

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Calculus

ISBN: 9781319055844

4th Edition

Authors: Jon Rogawski, Colin Adams, Robert Franzosa

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Question Posted: Dec 22, 2023 04:44 AM

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Verify that x 2 y' + e y = 0 is separable. (a) Write it as e

Question:

(a) Write it as e dy = -x²² dx. (b) Integrate both sides to obtain e = x¹ + C. (c) Verify that y = ln(x¹+C) is the general solution. (d) Find the particular solution satisfying y(2) = 4.

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Calculus

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