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In each of the following, determine the general solution, particular solution and complementary solution. 1. y" + y = tanx 2. у" + 4y %3D seс2х 3. y" – 2y" – y + 2y = e*x 4. у" - Зу" + 2у 1+ er

In each of the following, determine the general solution, particular solution and complementary solution. 1. y" + y = tanx 2. у" + 4y %3D seс2х 3. y" – 2y" – y + 2y = e*x 4. у" - Зу" + 2у 1+ er

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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1 %Solving a Non-Homogeneous Higher Order Differential Equations 2 %Initializations 3 syms y(x) 4 Dy(x)=diff(y) 5 D2y (x)=diff (y, 2) 6 D3y (x)=diff (y,3) 7 8 %Find the particular (y1p), complementary (ylc), and general solution (Y1GS)of y'''+y'=tan x 9 g1(x)= 10 L1= 11 y1c = 12 y1GS = 13 y1p= 14 |15 %Find the particular (y2p), complementary (y2c), and general solution (Y2GS) of y'''+4y'=sec 2x 16 g2(x)= 17 L2= 18 y2c = 19 y2GS = 20 y2p= 21 |22 %Find the particular (y3p), complementary (y3c), and general solution (Y3GS) of y'''-2y''-y'+2y=e^4x 23 g3(x)= 24 L3= 25 y3c = 26 Y3GS = 27 y3p= 28 |29 %Find the particular (y4p), complementary (y4c), and general solution (Y4GS) of y'''-3y''+2y'=e^2x/(1+e^x) 30 g4(x) = 31 L4= 32 y4c = 33 y4GS = 34 y4p= 35
Transcribed Image Text:1 %Solving a Non-Homogeneous Higher Order Differential Equations 2 %Initializations 3 syms y(x) 4 Dy(x)=diff(y) 5 D2y (x)=diff (y, 2) 6 D3y (x)=diff (y,3) 7 8 %Find the particular (y1p), complementary (ylc), and general solution (Y1GS)of y'''+y'=tan x 9 g1(x)= 10 L1= 11 y1c = 12 y1GS = 13 y1p= 14 |15 %Find the particular (y2p), complementary (y2c), and general solution (Y2GS) of y'''+4y'=sec 2x 16 g2(x)= 17 L2= 18 y2c = 19 y2GS = 20 y2p= 21 |22 %Find the particular (y3p), complementary (y3c), and general solution (Y3GS) of y'''-2y''-y'+2y=e^4x 23 g3(x)= 24 L3= 25 y3c = 26 Y3GS = 27 y3p= 28 |29 %Find the particular (y4p), complementary (y4c), and general solution (Y4GS) of y'''-3y''+2y'=e^2x/(1+e^x) 30 g4(x) = 31 L4= 32 y4c = 33 y4GS = 34 y4p= 35
Exercises: In each of the following, determine the general solution, particular solution and complementary solution. 1. у" + у %3 tanх 2. y" +4y = sec2x 3. y" – 2y" – y + 2y = e*x 4. у" — Зу' +2у %3 1+ e*
Transcribed Image Text:Exercises: In each of the following, determine the general solution, particular solution and complementary solution. 1. у" + у %3 tanх 2. y" +4y = sec2x 3. y" – 2y" – y + 2y = e*x 4. у" — Зу' +2у %3 1+ e*
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