Concept explainers
Analysis of a separable equation Consider the differential equation
a. Find the general solution of the equation and express it explicitly as a function of t in two cases: y > 0 and y < 0.
b. Find the solutions that satisfy the initial conditions y(–1) = 1 and y(– 1) = 2.
c. Graph the solutions in part (b) and describe their behavior as t increases.
d. Find the solutions that satisfy the initial conditions y(–1) = –1 and y(– 1) = –2.
e. Graph the solutions in part (d) and describe their behavior as t increases.
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Calculus: Early Transcendentals (3rd Edition)
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