An angle Θ is known to vary periodically with time, in such a way that its rate of change is proportional to the product of itself and the cosine of the time. If Θ(0) = 2 and Θ(pie/2) = 3, find a formula for Θ by solving a differential equation

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter11: Differential Equations
Section11.1: Solutions Of Elementary And Separable Differential Equations
Problem 18E: Find the general solution for each differential equation. Verify that each solution satisfies the...
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  1. An angle Θ is known to vary periodically with time, in such a way that its rate of change is proportional to the product of itself and the cosine of the time. If Θ(0) = 2 and Θ(pie/2) = 3, find a formula for Θ by solving a differential equation.
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