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. 4 (4t²y + 2ty + y³) + (t² + y²) dt

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.6: The Inverse Trigonometric Functions
Problem 93E
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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.
4
dy
(4t°y + 2ty + y*)+ (t² + y³).
= 0
dt
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. 4 dy (4t°y + 2ty + y*)+ (t² + y³). = 0 dt
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