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

Calculus 2 / BC

Chapter 16

First-Order Differential Equations

Section 3

Applications

Differential Equations

Missouri State University

Campbell University

Boston College

Lectures

01:11

In mathematics, integratio…

06:55

In grammar, determiners ar…

Find the orthogonal trajec…

01:45

01:08

02:53

Find the equation of the o…

02:48

03:04

02:57

03:35

08:24

Determine the orthogonal t…

09:36

in this video, we're gonna go through the answer to question number 10 jumped 16.3 to rest if I into the orthogonal trajectories of the family of curves. Why is equal to eat the K X work? A is a constant diverse. Once find the Grady in off the cars is equal to u k E X. We know that the author no trajectories are gonna have ingredient Pribadi X given by the next reciprocal this That's equal. Teoh minus one of Okay, tons e tu minus kayaks. We can solve this just by direct integration. You're gonna have Why is equal to minus one of the K that we're gonna have to times that by minus one of the K E to the minus k X plus a constant. Let's call it. Let's go. See, that's one of the case squared E to the minus K X. Let's see

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