d²y + 6(x² + x) sin x dx² d²y + sin x dx2 dy dy + 6y sin x – 6 sin x dx dy = sin x + x²sin³x + x²cos²x sin x dx x(х — 2) sin x - 6x2 sin x dx

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.3: The Addition And Subtraction Formulas
Problem 71E
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Linear Differential Equation with Variable Coefficient please help

d²y
+ 6(x² + x) sin x
dx²
d²y
+ sin x
dx2
dy
dy
+ 6y sin x – 6 sin x
dx
dy
= sin x + x²sin³x + x²cos²x sin x
dx
x(х — 2) sin x
- 6x2 sin x
dx
Transcribed Image Text:d²y + 6(x² + x) sin x dx² d²y + sin x dx2 dy dy + 6y sin x – 6 sin x dx dy = sin x + x²sin³x + x²cos²x sin x dx x(х — 2) sin x - 6x2 sin x dx
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