ve Symbolic solution of ordinary di ble: y (x) ) = diff(y)
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
Problem 1PE
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
Transcribed Image Text:MATLAB can solve differential equations using the dsolve command.
dsolve Symbolic solution of ordinary differential equations.
Example:
syms y(x)
Dy (x) = diff(y)
D2y(x) = diff(y, 2)
yGS1 = dsolve (D2y+2*Dy+y==0)
yGS2 = dsolve (D2y+2*Dy+y==0, y(0)==1, y(0)==2)
Problems: Solve the following differential equations, using the initial conditions when applicable
1. y₁" + 8y₁ + 16y₁ = 0, y₁ (0) = 1, y₁ (0) = 0
2. y₂" - 3y₂ + 2y₂ = 0, y₂(1) = 1, y₂ (1) = 4
3. Y3" + 8y₂ + 17y3 = 0
4. y + 8y + 16y4 = 0
5. y-729y5 = 0

Transcribed Image Text:1 %Solve the given Homogeneous Differential Equations with Constant Coefficients
2 %Initialize the Variables
3
4
5 %Solve the equation y"+8y'+16y=0, y(0)=1, y'(0)=0. Save your answer as y1¹;
6
7 %Solve the equation y"-3y'+2y=0, y_2(1)=1, y_2¹ (1)=4. Save your answer as y2;
8
9 %Solve the equation y"+8y'+17y=0. Save your answer as y3;
10
11 %Solve the equation y^{IV} + 8y" + 16y=0. Save your answer as 4;
12
13 %Solve the equation y^{VI}-729y=0. Save your answer as y1¹;
14
15
16
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