MATH 102 Chapter 12: Math 102 Chapter 12
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MATH 102 Full Course Notes
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Solving de: check whether function y 1-17 verifies a de. Substitute expression of yet) in-10 de * 2 sides must be equal ex. = +1t =f , ex . Does function ylt) = yoe-+ condition y 10) = yo ? function verifies de dd = b- solve de da = 1- y wi. I - yo e-+ ( day = - yo e-+ if y 11-1=1-11-4075-1 day = - 11-407 . 1- e-+ ) = 11 - yo let satisfies de. 1- y = 1-11-11 - you -t ( i - yo> e - t off = 1-y function doesn"t satisfy de initial 4101=90. 4107=1-11 -yo)e = i - ( 1- yo) i yl -11=1 - ( i - yol e - t solves ad = 1-y w/ y 101=-90. Rate of radioactive decay y y 10) = yo constants steady state : special solution - no change over time. 0 = a-by y= % g- = 0.
