A. Find the roots of the following differential equations and match with their complete solution. DIFFERENTIAL EQUATION SOLUTION 1. (3D² + 2D + 1)y = 0 2. (D² + 7D + 10)y = 0 3. D³ +7D² + 16D + 12)y = 0 4. (D² + 4)²y = 0 5. (D4 +5D² - 36)y = 0 a. b. y = y₁= y = y₁ = y = y₁= C. -2x y = y₁ = C₁e-²x + С₂xе¯ + c3e -3x d. e. y = y₁= -5x C₁е + C₂e -2x e-¹/³x (C₁ cos√2/3x+c₂sin√√2/3x) C₁e²x + С₂е¯ + C3cos3x + C4sin3x C₁ cos2x + c₂sin2x + x(c3cos2x + csin2x)
A. Find the roots of the following differential equations and match with their complete solution. DIFFERENTIAL EQUATION SOLUTION 1. (3D² + 2D + 1)y = 0 2. (D² + 7D + 10)y = 0 3. D³ +7D² + 16D + 12)y = 0 4. (D² + 4)²y = 0 5. (D4 +5D² - 36)y = 0 a. b. y = y₁= y = y₁ = y = y₁= C. -2x y = y₁ = C₁e-²x + С₂xе¯ + c3e -3x d. e. y = y₁= -5x C₁е + C₂e -2x e-¹/³x (C₁ cos√2/3x+c₂sin√√2/3x) C₁e²x + С₂е¯ + C3cos3x + C4sin3x C₁ cos2x + c₂sin2x + x(c3cos2x + csin2x)
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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