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A differential equation of the form d* = F () 1. where the right side depends only on the ratio of x and t, is called homogeneous. Show that a homogeneous equation can be transformed into a separable equation by changing the dependent variable from x to y via x(t) = ty(t). Use this method of substitution to solve the equation dx - 4P + 3x? 2tx

A differential equation of the form d* = F () 1. where the right side depends only on the ratio of x and t, is called homogeneous. Show that a homogeneous equation can be transformed into a separable equation by changing the dependent variable from x to y via x(t) = ty(t). Use this method of substitution to solve the equation dx - 4P + 3x? 2tx

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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A differential equation of the form d* = F () 1. where the right side depends only on the ratio of x and t, is called homogeneous. Show that a homogeneous equation can be transformed into a separable equation by changing the dependent variable from x to y via x(t) = ty(t). Use this method of substitution to solve the equation dx - 4P + 3x? 2tx
Transcribed Image Text:A differential equation of the form d* = F () 1. where the right side depends only on the ratio of x and t, is called homogeneous. Show that a homogeneous equation can be transformed into a separable equation by changing the dependent variable from x to y via x(t) = ty(t). Use this method of substitution to solve the equation dx - 4P + 3x? 2tx
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