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Differential Equation Solution 1. x² + y² = Cx 2xyy' = y² – x²

Differential Equation Solution 1. x² + y² = Cx 2xyy' = y² – x²

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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Prove that the given is a solution to the differential equation written opposite it. Differential Equation Solution 1. x² + y² = Cx 2xyy' = y² – x² x² + y² = Cx Y(x)= C1sin 2x + C2 Cos 2x 4xyy' = y² + x² Y" - 4y = 0 2. 3. 4. Y(x)= C1sin 2x + C2 Cos 2x Y" + 4y = 0 5. Y= (x + e) e * Y' - Y = e* 6. Y= (x + e) e * Y' + Y = e*
Transcribed Image Text:Prove that the given is a solution to the differential equation written opposite it. Differential Equation Solution 1. x² + y² = Cx 2xyy' = y² – x² x² + y² = Cx Y(x)= C1sin 2x + C2 Cos 2x 4xyy' = y² + x² Y" - 4y = 0 2. 3. 4. Y(x)= C1sin 2x + C2 Cos 2x Y" + 4y = 0 5. Y= (x + e) e * Y' - Y = e* 6. Y= (x + e) e * Y' + Y = e*
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