(3) Find the general solution of the following different equation (2x³ − xy² −2y + 3)dx − (x²y + 25 - 2x)dy = 0

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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I need help with this exercise (First order ODE), please.

 

(3) Find the general solution of the following different equation
(2x³ − xy² − 2y + 3)dx − (x²y + 2x)dy = 0
Transcribed Image Text:(3) Find the general solution of the following different equation (2x³ − xy² − 2y + 3)dx − (x²y + 2x)dy = 0
Expert Solution
Step 1: Given Equation

Given Differential equation 

left parenthesis space 2 x cubed space minus space x y squared space minus space 2 y space plus space 3 space right parenthesis d x space minus space left parenthesis space x squared y space plus space 2 x space right parenthesis d y space equals space 0
M space equals space left parenthesis space 2 x cubed space minus space x y squared space minus space 2 y space plus space 3 space right parenthesis space
N space equals space left parenthesis space x squared y space plus space 2 x space right parenthesis

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