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3. (2D3 - D² + 1)(In cos x-2 tan x) 4. (D2 + 3D + 2)(e-2x + 3x2) (solve using 3 methods

3. (2D3 - D² + 1)(In cos x-2 tan x) 4. (D2 + 3D + 2)(e-2x + 3x2) (solve using 3 methods

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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A1: Differential Equation : Linear Differential Equation of Order a) #4 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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