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(2) Show that the solution of the differential equation is exact and find its solution. y²– 2x² 2y²-x² dy = 0 y³ – x²y dx+ xy² x3

(2) Show that the solution of the differential equation is exact and find its solution. y²– 2x² 2y²-x² dy = 0 y³ – x²y dx+ xy² x3

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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Question
equation. (2) Show that the solution of the differential equation is exact and find its solution. (0) y²– 2x² xy² x3 dx+ 2y² - x² y³ – x²y -dy = 0
Transcribed Image Text:equation. (2) Show that the solution of the differential equation is exact and find its solution. (0) y²– 2x² xy² x3 dx+ 2y² - x² y³ – x²y -dy = 0
Expert Solution
Step 1: Solution

Given differential equation:

fraction numerator y squared minus 2 x squared over denominator x y squared minus x cubed end fraction d x plus fraction numerator 2 y squared minus x squared over denominator y cubed minus x squared y end fraction d y equals 0

We have to show that the given differential equation is exact and find its solution

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