dsolve Symbolic solution of ordinary differential equations. dsolve will not accept equations as strings in a future release. Use symbolic expressions or sym objects instead. For example, use syms y(t): dsolve(diff(y)==y) instead of dsolve("Dy-y). Example 1: Solve y' = y, y(0) = 2 syms x y(x) dy(x) = diff(y); Y = dsolve (dy==y,y(0)==2); Example 2: Solvex=x√1-² syms x y(x) dy(x) = diff(y); Y = dsolve (dy==x*sqrt(1-y^2)); Exercises: Solve the following differential equations 1. (1+x) y - xy=x+x² 2. dx+y=x, y(0) = 4 3. dy +ySeCx= C0$t

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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1%Declare the variables, x, y(x) and dy(x)
2
3
4 %Solve equation 1, place final Answer as Y1
5 Y1 =
6 %Solve equation 2, place final answer as Y2
7 Y2 =
8
% Solve Equation 3
9 Y3 =
Transcribed Image Text:1%Declare the variables, x, y(x) and dy(x) 2 3 4 %Solve equation 1, place final Answer as Y1 5 Y1 = 6 %Solve equation 2, place final answer as Y2 7 Y2 = 8 % Solve Equation 3 9 Y3 =
dsolve Symbolic solution of ordinary differential equations.
dsolve will not accept equations as strings in a future release.
Use symbolic expressions or sym objects instead.
For example, use syms y(t); dsolve(diff(y)==y) instead of dsolve("Dy=y").
Example 1:
Solve y' = y, y(0) = 2
syms x y(x)
dy(x) = diff(y);
Y = dsolve (dy==y,y(0)==2);
Example 2:
Solved=xv
- 3²
syms x y(x)
dy(x) = diff(y);
Y = dsolve (dy==x*sqrt(1-y^2));
Exercises:
Solve the following differential equations
1. (1+x) y - xy=x+x²
2. dy+y=x, y(0) = 4
3. dy+ysecx = cosx
Transcribed Image Text:dsolve Symbolic solution of ordinary differential equations. dsolve will not accept equations as strings in a future release. Use symbolic expressions or sym objects instead. For example, use syms y(t); dsolve(diff(y)==y) instead of dsolve("Dy=y"). Example 1: Solve y' = y, y(0) = 2 syms x y(x) dy(x) = diff(y); Y = dsolve (dy==y,y(0)==2); Example 2: Solved=xv - 3² syms x y(x) dy(x) = diff(y); Y = dsolve (dy==x*sqrt(1-y^2)); Exercises: Solve the following differential equations 1. (1+x) y - xy=x+x² 2. dy+y=x, y(0) = 4 3. dy+ysecx = cosx
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