Find the general solution of the differential equation and check the result by differentiation. dy = 16t dt Step 1 When solving a differential equation, Y = 16t, it is convenient to write it in the equivalent differential form dy = 16t 'dt. To find the general solution, we integrate %3D integrate both sides. Thus, 2(8) x dy = 16t dt 16t Step 2 Integrate both sides and use the power rule on the right side. 7+1 y = 16 +C 7+1 +C Step 3 Thus, the general solution of 16 is y -2 + C
Find the general solution of the differential equation and check the result by differentiation. dy = 16t dt Step 1 When solving a differential equation, Y = 16t, it is convenient to write it in the equivalent differential form dy = 16t 'dt. To find the general solution, we integrate %3D integrate both sides. Thus, 2(8) x dy = 16t dt 16t Step 2 Integrate both sides and use the power rule on the right side. 7+1 y = 16 +C 7+1 +C Step 3 Thus, the general solution of 16 is y -2 + C
Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
6th Edition
ISBN:9781337111348
Author:Bruce Crauder, Benny Evans, Alan Noell
Publisher:Bruce Crauder, Benny Evans, Alan Noell
Chapter2: Graphical And Tabular Analysis
Section2.1: Tables And Trends
Problem 1TU: If a coffee filter is dropped, its velocity after t seconds is given by v(t)=4(10.0003t) feet per...
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