y′ − (4x − y + 1)² = 0_y(0)=2 - Use the substitution u=4x-y+1 and follow the method of general substitution. Any complicated integral, use WolframAlpha to compute. After finding the general solution, use the initial condition to find a specific solution. Try to express specific solution in explicit format. Graph it in GeoGebra. Looking at the graph of the specific solution, what is the domain? What is the range? Is there something you can say about the graph of the solution (there is no right and wrong answer here, try your best)?

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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y′ − (4x − y + 1)² = 0
y (0) = 2
Use the substitution u=4x-y+1 and follow the method of general substitution. Any
complicated integral, use WolframAlpha to compute. After finding the general
solution, use the initial condition to find a specific solution. Try to express specific
solution in explicit format. Graph it in GeoGebra. Looking at the graph of the specific
solution, what is the domain? What is the range? Is there something you can say
about the graph of the solution (there is no right and wrong answer here, try your
best)?
Transcribed Image Text:y′ − (4x − y + 1)² = 0 y (0) = 2 Use the substitution u=4x-y+1 and follow the method of general substitution. Any complicated integral, use WolframAlpha to compute. After finding the general solution, use the initial condition to find a specific solution. Try to express specific solution in explicit format. Graph it in GeoGebra. Looking at the graph of the specific solution, what is the domain? What is the range? Is there something you can say about the graph of the solution (there is no right and wrong answer here, try your best)?
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