(1 point) Find y as a function of t if 8y" + 27y = 0, y(0) = 2, y'(0) = 7. y(t) = |
(1 point) Find y as a function of t if 8y" + 27y = 0, y(0) = 2, y'(0) = 7. y(t) = |
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter11: Topics From Analytic Geometry
Section11.3: Hyperbolas
Problem 58E
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Since the given differential equation is a second-order linear homogeneous ODE.
Therefore, we solve this differential equation by substituting .
After solving the equation for r, and using initial conditions in the general solution of the differential equation, we get
.
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