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1. Show that a solution to y = 2xy + y(y')² is given by y² = c₁(x+₁). Is the equation linear or non-linear? 2. Show that a solution to y"+y = tan x is given by y = -cos x ln(sec x + tan x). Is the

1. Show that a solution to y = 2xy + y(y')² is given by y² = c₁(x+₁). Is the equation linear or non-linear? 2. Show that a solution to y"+y = tan x is given by y = -cos x ln(sec x + tan x). Is the

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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1. Show that a solution to y = 2xy'+ y(y')² is given by y² = c₁(x+₁). Is the equation linear or non-linear? 2. Show that a solution to y''+y = tan x is given by y = -cos x ln(sec x+tan x). Is the equation linear or non-linear?
Transcribed Image Text:1. Show that a solution to y = 2xy'+ y(y')² is given by y² = c₁(x+₁). Is the equation linear or non-linear? 2. Show that a solution to y''+y = tan x is given by y = -cos x ln(sec x+tan x). Is the equation linear or non-linear?
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