Find the general solution of the differential equation. Then, use the initial condition to find the corresponding particular solution. dy +9xy=8x, y(0) = -4 dx 8 The general solution is y = 9 + C e 9x² The particular solution for y(0) - 4 is y =

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section: Chapter Questions
Problem 18T
Question
Find the general solution of the differential equation. Then, use the initial condition to find the corresponding particular solution.
dy
+9xy=8x, y(0) = -4
dx
8
The general solution is y =
9
+
C
e
9x²
The particular solution for y(0) - 4 is y =
Transcribed Image Text:Find the general solution of the differential equation. Then, use the initial condition to find the corresponding particular solution. dy +9xy=8x, y(0) = -4 dx 8 The general solution is y = 9 + C e 9x² The particular solution for y(0) - 4 is y =
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