Calculus II MA 241
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This 2 page Class Notes was uploaded by Braeden Lind on Thursday October 15, 2015. The Class Notes belongs to MA 241 at North Carolina State University taught by Staff in Fall. Since its upload, it has received 18 views. For similar materials see /class/223725/ma-241-north-carolina-state-university in Mathematics (M) at North Carolina State University.
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Date Created: 10/15/15
Test 3 topics Q o Separable Differential Equations 0 Mixing Problems i dy 7 1 Example 7 W dy yledz ydye mdz fydy fe m dm y2 75 m c a y2 725 0 new 0 yiTmc M Exponential Growth and Decay if kg which has solution y Cekt where C y0 Growth k gt 0 Decay k lt 0 i Logistic Equation Pt L do not memorize but be able to manipulate 1 A54 7 k constant for the system7 K carrying capacity7 A arbitrary constant from integration which may be determined by an initial condition E Second Order Homogeneous Differential Equations ay by cy 0 0 Case 1 b2 7 4acgt 0 Two real roots T1 and r2 GENERAL SOLUTION y 0157 02572 0 Case 2 b274ac0 717 One double root r T 1 GENERAL SOLUTION y 015 one
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