Answer
$$y=\pm\sqrt{1+t}$$
Work Step by Step
Since the equation of the isocline of the slope $c$ is given by
$$F(t,y)=c$$
then the equation of the isocline of the slope $c=1$ is:
$$y^2-t=1.$$
Solve for $y$:
$$y=\pm\sqrt{1+t}$$
Calculus (3rd Edition)
by Rogawski, Jon; Adams, Colin
Published by
W. H. Freeman
ISBN 10:
1464125260
ISBN 13:
978-1-46412-526-3
Chapter 10 - Introduction to Differential Equations - 10.2 Graphical and Numerical Methods - Preliminary Questions - Page 513: 2
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