Find the curve through the origin in thexy-plane which satisfies y''=2y' and whose tangentat the origin has slope 1.

Trigonometry (MindTap Course List)
10th Edition
ISBN:9781337278461
Author:Ron Larson
Publisher:Ron Larson
Chapter6: Topics In Analytic Geometry
Section6.2: Introduction To Conics: parabolas
Problem 4ECP: Find an equation of the tangent line to the parabola y=3x2 at the point 1,3.
Question
 
Find the curve through the origin in the
xy-plane which satisfies y''=2y' and whose tangent
at the origin has slope 1.
 
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