Determine whether the following statements are true and give an explanation or counterexample. a. The general solution

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Determine whether the following statements are true and give an explanation or counterexample.

a. The general solution of y'(t) = 20y is y = e20t.

b. The functions y = 2e-2t and y = 10e-2t do not both satisfy the differential equation y' + 2y = 0.

c. The equation y'(t) = ty + 2y + 2t + 4 is not separable.

d. A solution of y'(t) = 2√y is y = (t + 1)2.

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Related Book For  answer-question

Calculus Early Transcendentals

ISBN: 978-0321947345

2nd edition

Authors: William L. Briggs, Lyle Cochran, Bernard Gillett

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