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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

Calculus For The Life Sciences
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter11: Differential Equations
Section11.1: Solutions Of Elementary And Separable Differential Equations
Problem 5E
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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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