Asked by Jerrod

Find the particular antiderivative that satisfies the following conditions
dy/dx=7x^[−2]+8x^[−1]−6;y(1)=2.
Answered by oobleck
dy/dx = 7/x^2 + 8/x - 6
y = -7/x + 8 lnx - 6x + C
using the point (1,2) we get
-7 + 0 - 6 + C = 2
C = 15
so,
y = -7/x + 8 lnx - 6x + 15
Answered by Jerrod
Thank you
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