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Find the orthogonal trajectories of the family of curves. Sketch several members of each family.$$y=c e^{-x}$$

Calculus 2 / BC

Chapter 16

First-Order Differential Equations

Section 3

Applications

Differential Equations

Campbell University

Harvey Mudd College

University of Michigan - Ann Arbor

Idaho State University

Lectures

01:11

In mathematics, integratio…

06:55

In grammar, determiners ar…

01:26

Find the orthogonal trajec…

01:45

02:53

Find the equation of the o…

01:08

02:48

03:04

02:57

08:24

Determine the orthogonal t…

09:36

03:35

in this video, we're gonna go through the answer. It's question of benign from chapter 16.3. So for us to find the orthogonal trajectories, the family of curves given by Y is equal to see a constant times e minus x. So let's differentiate this. Expect X to find out what the grading of this kind of is. Dwight D. X. You have equal Teoh minus c times e sex. The orthogonal projector is I'm gonna have girls getting by the negative, reciprocal reckless to do y the x. It was equal to one of the sea times e to the X. So just integrate this to find why is equal to one of the sea He's the ex Aziz the actress integrates too. So plus a constant let's call it be

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