Show that the equation below is an inexact equation. Find the integrating factor in terms of t only and show that multiplying the inexact equation by the integrating factor turns it into an exact equation. Hence, then solve the exact equation. dy (3t°y + 2ty + y³) + (t² + y³). %3D dt
Show that the equation below is an inexact equation. Find the integrating factor in terms of t only and show that multiplying the inexact equation by the integrating factor turns it into an exact equation. Hence, then solve the exact equation. dy (3t°y + 2ty + y³) + (t² + y³). %3D dt
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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![3. Show that the equation below is an inexact equation. Find the integrating
factor in terms of t only and show that multiplying the inexact equation
by the integrating factor turns it into an exact equation. Hence, then solve
the exact equation.
dy
(3t²y +2ty + y³) + (ť² + y²)·
dt](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F4ff0be08-4931-4ff6-8f29-60641bab2574%2Fdbe947d5-ec82-4550-8734-fb72bf3fe36c%2Fy7nsm7p_processed.png&w=3840&q=75)
Transcribed Image Text:3. Show that the equation below is an inexact equation. Find the integrating
factor in terms of t only and show that multiplying the inexact equation
by the integrating factor turns it into an exact equation. Hence, then solve
the exact equation.
dy
(3t²y +2ty + y³) + (ť² + y²)·
dt
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