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1. Is y=x+4√√x+3 a solution to the differential equation (y-x)=y=x+8? If so, find dx of definition. 2. Determine a region of the xy-plane for which the given differential equation would hav solution whose graph passes through a point (x, y) in the region. dy

1. Is y=x+4√√x+3 a solution to the differential equation (y-x)=y=x+8? If so, find dx of definition. 2. Determine a region of the xy-plane for which the given differential equation would hav solution whose graph passes through a point (x, y) in the region. dy

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. Is y=x+4√√x+3 a solution to the differential equation ( y − x) = y− x+8 ? If so, find an interval dx of definition. 2. Determine a region of the xy-plane for which the given differential equation would have a unique solution whose graph passes through a point (x,y) in the region. 1²) ¹/ dx (4-y²)²
Transcribed Image Text:1. Is y=x+4√√x+3 a solution to the differential equation ( y − x) = y− x+8 ? If so, find an interval dx of definition. 2. Determine a region of the xy-plane for which the given differential equation would have a unique solution whose graph passes through a point (x,y) in the region. 1²) ¹/ dx (4-y²)²
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