3. (2D3 - D² + 1)(In cos x - 2 tan x)

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.5: Product-to-sum And Sum-to-product Formulas
Problem 37E
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A1: Differential Equation : Linear Differential Equation of Order a) #3 only (U can answer others thanks)
ACTIVITY 1
Direction: solve and analyze each of the following problem in neat and orderly manner.
Do this in your indicated format.
a) Perform the indicated operation
1. (2D2 – 3D + 5)(x cos x x- 3)
2. (D³ + 2D -4)(e sin x + e2x)
3. (2D3 - D2 + 1)(In cos x-2 tan x)
4. (D2 +3D + 2)(e-2* + 3x?)
(solve using 3 methods)
b) Find the solutions of the following homogenous linear equations with the use of
equation 4.1.2 D
1. (D -6D2 + 5D)y = 0
2. (4D? - 3D- 10)y 0
%3D
cl Solve the following differential equations using the "exponential shift" defined by
equation 4.1.2 E
1. (D-2)'y 0
2. (D+ 7)°y = 0
Ø(D)emx = 0(D)ex = 0
equation 4.1.2 D
“ソ
X203
Or D"yeax = eax (D + a)"y
equation 4.1.2 E
%3D
Transcribed Image Text:ACTIVITY 1 Direction: solve and analyze each of the following problem in neat and orderly manner. Do this in your indicated format. a) Perform the indicated operation 1. (2D2 – 3D + 5)(x cos x x- 3) 2. (D³ + 2D -4)(e sin x + e2x) 3. (2D3 - D2 + 1)(In cos x-2 tan x) 4. (D2 +3D + 2)(e-2* + 3x?) (solve using 3 methods) b) Find the solutions of the following homogenous linear equations with the use of equation 4.1.2 D 1. (D -6D2 + 5D)y = 0 2. (4D? - 3D- 10)y 0 %3D cl Solve the following differential equations using the "exponential shift" defined by equation 4.1.2 E 1. (D-2)'y 0 2. (D+ 7)°y = 0 Ø(D)emx = 0(D)ex = 0 equation 4.1.2 D “ソ X203 Or D"yeax = eax (D + a)"y equation 4.1.2 E %3D
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