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Find the particular solutions satisfying the given conditions: dy a) y = 2 when x = 0. dx = 1 + cos x + cos²x,

Find the particular solutions satisfying the given conditions: dy a) y = 2 when x = 0. dx = 1 + cos x + cos²x,

Trigonometry (MindTap Course List)
Trigonometry (MindTap Course List)
10th Edition
ISBN:9781337278461
Author:Ron Larson
Publisher:Ron Larson
Chapter2: Analytic Trigonometry
Section2.3: Solving Trigonometric Equations
Problem 10ECP
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2.2 Find the particular solutions satisfying the given conditions: dy ▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬ a) dx 2 = 1 + cos x + cos²x, y = 2 when x = 0.
Transcribed Image Text:2.2 Find the particular solutions satisfying the given conditions: dy ▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬ a) dx 2 = 1 + cos x + cos²x, y = 2 when x = 0.
-2 dy b) = 1 - 2x - 3x-², dx c) e²x dy - dx d) = (x + að al e) dy dx + 1 = 0, dx 18 f) x²x² dy dx 2 dy = x√√₁ + x²₂ 2 = x³, y = -1 when x = 1. y → 2 as x→∞. y = 1 when x = 1. y = -3 when x = ( 0. y(0) = 1.
Transcribed Image Text:-2 dy b) = 1 - 2x - 3x-², dx c) e²x dy - dx d) = (x + að al e) dy dx + 1 = 0, dx 18 f) x²x² dy dx 2 dy = x√√₁ + x²₂ 2 = x³, y = -1 when x = 1. y → 2 as x→∞. y = 1 when x = 1. y = -3 when x = ( 0. y(0) = 1.
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