(a) Show that y = e(c₁ cos x + c₂ sin ) is a general solution of y" + 2y' + 2y = 0. (b) Deter- mine the particular solution such that y(0) = -2, y'(0) = 5.
(a) Show that y = e(c₁ cos x + c₂ sin ) is a general solution of y" + 2y' + 2y = 0. (b) Deter- mine the particular solution such that y(0) = -2, y'(0) = 5.
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
Section11.2: Linear First-order Differential Equations
Problem 1YT
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