Determine whether the following statements are true and give an explanation or counterexample. a. The general solution
Question:
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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a False The general solution is y ...View the full answer
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Related Book For
Calculus Early Transcendentals
ISBN: 978-0321947345
2nd edition
Authors: William L. Briggs, Lyle Cochran, Bernard Gillett
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