Answer
$y=\int_{x_0}^x f(t) \ dt +y_0$
Work Step by Step
Applying the fundamental theorem, we have:
$y=\int_a^x f(t) \ dt$
Since, $y(x_0)=y_0$, the equation above becomes:
$y=\int_{x_0}^x f(t) \ dt +y_0$
University Calculus: Early Transcendentals (3rd Edition)
by Hass, Joel R.; Weir, Maurice D.; Thomas Jr., George B.
Published by
Pearson
ISBN 10:
0321999584
ISBN 13:
978-0-32199-958-0
Chapter 5 - Questions to Guide Your Review - Page 341: 12
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