
Kylie M.
asked 04/18/22Find the function y(x)
Given dy/dx= 7x-2+7x-1-5; y(1)=2
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1 Expert Answer
Mark M. answered 04/19/22
Tutor
4.9
(954)
Retired math prof. Calc 1, 2 and AP Calculus tutoring experience.
dy/dx = 7x-2 + 7x-1 + 5
Integrate to get y = -7/x + 7ln lxl+ 5x + C
Since y(1) = 2, -7 + 0 + 5 + C = 2. So, C = 4
y = -7/x + ln lxl + 5x + 4
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Paul M.
04/18/22