Form the partial differential equation by eliminating arbitrary function from z = e" f(x – y)

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Q-22 A resistor of resistance R, connected In a series with an inductor of inductance L, and an applied contents voltage E.
di
the first-order differential for the current i at time t
dt
Solve E = iR+L
Solve the differential equation when t = 0, i = 0
Q-23
Find the orthogonal trajectories of the families of y = 2ax, where a being a parameter.
Find the orthogonal trajectories of the families of r = 2a cos 0, where a being a parameter.
Q-24 [
Form the partial differential equation by eliminating arbitrary function from z = e" f(x – y)
Q-25 (
] Show that the given differential equation is not exact hence solve it æ²ydx – (x³ + y³)dy=0
Transcribed Image Text:Q-22 A resistor of resistance R, connected In a series with an inductor of inductance L, and an applied contents voltage E. di the first-order differential for the current i at time t dt Solve E = iR+L Solve the differential equation when t = 0, i = 0 Q-23 Find the orthogonal trajectories of the families of y = 2ax, where a being a parameter. Find the orthogonal trajectories of the families of r = 2a cos 0, where a being a parameter. Q-24 [ Form the partial differential equation by eliminating arbitrary function from z = e" f(x – y) Q-25 ( ] Show that the given differential equation is not exact hence solve it æ²ydx – (x³ + y³)dy=0
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