B. Verify if the indicated particular solution is a solution of the given differential equation. 1. y = 2x+ce; y'-y = 2(1-x) 3. y=x²(1+ lnx): ² d ² y dx² 2. y=2coshx; y" - y = 0 4. y=3e cos2x; y" - 2y + 5y = 0 -3x+4y=0 dx

Calculus: Early Transcendentals
8th Edition
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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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Kindly answer lettee B, #1,2&3

A. Verify if the given general solution is a solution of the indicated differential equation.
1. y(x² + C) +2=0; y'=xy ²
4. y=Insin(x-A) +B; y" + (y)² + 1 = 0
3x -3.x
3
2. xy² -2= cxy; (x² + y²-x)dx-ydy=0 5. y=ae +bex; "-9y=0
3. y = ax ²; xy' - 2y = 0
6. y = ₁₁x + ₂€¯¹*; (x+1)y'" + xy' − y = 0
C
-
B. Verify if the indicated particular solution is a solution of the given differential equation.
d²ydy
1. y = 2x+ce; y'-y = 2(1-x)
2. y=2coshx; y"-y=0
3. y=x² (1+lnx); x²
-3x+4y=0
dx
dx²
4. y=3e cos2x; y" - 2y + 5y = 0
2
Transcribed Image Text:A. Verify if the given general solution is a solution of the indicated differential equation. 1. y(x² + C) +2=0; y'=xy ² 4. y=Insin(x-A) +B; y" + (y)² + 1 = 0 3x -3.x 3 2. xy² -2= cxy; (x² + y²-x)dx-ydy=0 5. y=ae +bex; "-9y=0 3. y = ax ²; xy' - 2y = 0 6. y = ₁₁x + ₂€¯¹*; (x+1)y'" + xy' − y = 0 C - B. Verify if the indicated particular solution is a solution of the given differential equation. d²ydy 1. y = 2x+ce; y'-y = 2(1-x) 2. y=2coshx; y"-y=0 3. y=x² (1+lnx); x² -3x+4y=0 dx dx² 4. y=3e cos2x; y" - 2y + 5y = 0 2
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