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3. Verify if y=2x-3 is a solution to y'-y-3 = -2x+5.

3. Verify if y=2x-3 is a solution to y'-y-3 = -2x+5.

Calculus: Early Transcendentals
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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DIFFERENTIAL EQUATION 

UPVOTE WILL BE GIVEN. PLEASE WRITE THE SOLUTIONS IN THE SAME FORMAT GIVEN BELOW. NO LONG EXPLANATION NEEDED. DO NOT FORGET TO CLASSIFY ITS ORDER, TYPE, & LINEARITY. 

ANSWER #3 ONLY (written below)

CORRECTION IN #3:

3. Verify if y=2x-3 is a solution to y'-y-3 = -2x+5.

Verify the Solutions to the ff. Differential Equations. Write your solution and conclusion completely. 1. Verify if y = xe* is a solution of y" 2y + y = 0 2. Verify if y=x* is a solution of 3. Verify if y = ex is a solution to y" + 2y' - 15 = 0 4. Verify if y=2x-3y=2x-3 is a solution to y'-y-3--2x+5y'-y-3--2x+5. 5. Verify if y=5x+5y=5x+5 is a solution to y'+y+5=5x+15y'+y+5=5x+15. Determine the Classification of these functions in terms of order, type, and linearity. Present your answers with this format, Example: 1. 1st order, ODE, Linear du Ət dy dz +k²y=0 dr² (x² + y²) dx - 2xy dy = 0 h² E) * d'y dy2 di +R dt2 dt PV 8²V av + + dx² dy² 8:2 dw dr2 d³r dr dy³ dy +7 cos Or² 1 + +=Ew sin wt dy dr + dw ry- +w=0 dr +y dy² მ2 - d'y d'a + dt2 af of ду =0 - 4ry=0 -8y=0
Transcribed Image Text:Verify the Solutions to the ff. Differential Equations. Write your solution and conclusion completely. 1. Verify if y = xe* is a solution of y" 2y + y = 0 2. Verify if y=x* is a solution of 3. Verify if y = ex is a solution to y" + 2y' - 15 = 0 4. Verify if y=2x-3y=2x-3 is a solution to y'-y-3--2x+5y'-y-3--2x+5. 5. Verify if y=5x+5y=5x+5 is a solution to y'+y+5=5x+15y'+y+5=5x+15. Determine the Classification of these functions in terms of order, type, and linearity. Present your answers with this format, Example: 1. 1st order, ODE, Linear du Ət dy dz +k²y=0 dr² (x² + y²) dx - 2xy dy = 0 h² E) * d'y dy2 di +R dt2 dt PV 8²V av + + dx² dy² 8:2 dw dr2 d³r dr dy³ dy +7 cos Or² 1 + +=Ew sin wt dy dr + dw ry- +w=0 dr +y dy² მ2 - d'y d'a + dt2 af of ду =0 - 4ry=0 -8y=0
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