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x)=diff(y) (x)=diff(y,2) -(x)=diff(y,3) nd the particular (y1p), complementary (y1c), and general x)=

x)=diff(y) (x)=diff(y,2) -(x)=diff(y,3) nd the particular (y1p), complementary (y1c), and general x)=

Database System Concepts
Database System Concepts
7th Edition
ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Chapter1: Introduction
Section: Chapter Questions
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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 (y1c), 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=
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 (y1c), 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=
This section will help the students find a solution to a Non-Homogeneous Higher Order Differential Equation Using MATLAB Example: syms y(x) g(x) Dy(x)=diff(y) D2y(x)=diff(y,2) L=D2y+3*Dy+2*y; g(x)= x^2; yc = dsolve(L==0) yGS = dsolve(L==g(x)) yp=yGS-yc Exercises: In each of the following, determine the general solution, particular solution and complementary solution. 1. y + y = tanx 2. y + 4y = sec2x 3. y" - 2y" -y + 2y = ex p2x 4. y" - 3y" + 2y = I 1 + et
Transcribed Image Text:This section will help the students find a solution to a Non-Homogeneous Higher Order Differential Equation Using MATLAB Example: syms y(x) g(x) Dy(x)=diff(y) D2y(x)=diff(y,2) L=D2y+3*Dy+2*y; g(x)= x^2; yc = dsolve(L==0) yGS = dsolve(L==g(x)) yp=yGS-yc Exercises: In each of the following, determine the general solution, particular solution and complementary solution. 1. y + y = tanx 2. y + 4y = sec2x 3. y" - 2y" -y + 2y = ex p2x 4. y" - 3y" + 2y = I 1 + et
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