Solving First Order Differential Equations 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: Solve y=x√1-1² 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+x 2. + y = x, y(0) = 4 dx 3. dy+ysecx = cosx Script 1%Declare the variables, x, y(x) and dy(x) 4 %Solve equation 1, place final Answer as Y1 Y1 = 6 %Solve equation 2, place final answer as Y2 7 Y2 = % Solve Equation 3 9 Y3 = Save C Reset My Solutions > MATLAB Documentation
Solving First Order Differential Equations 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: Solve y=x√1-1² 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+x 2. + y = x, y(0) = 4 dx 3. dy+ysecx = cosx Script 1%Declare the variables, x, y(x) and dy(x) 4 %Solve equation 1, place final Answer as Y1 Y1 = 6 %Solve equation 2, place final answer as Y2 7 Y2 = % Solve Equation 3 9 Y3 = Save C Reset My Solutions > MATLAB Documentation
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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![Solving First Order Differential Equations
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);
Ydsolve(dy==y,y(0) == 2);
Example 2:
Solve 2)=x√1-1²
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. + y = x,y(0) = 4
dx
3. dy+ysecx = COSX
ax
Script
1%Declare the variables, x, y(x) and dy(x)
3
4 %Solve equation 1, place final Answer as Y1
5 Y1 =
6 %Solve equation 2, place final answer as Y2
Y2 =
8 % Solve Equation 3
9 Y3 =
My Solutions >
Save C Reset E MATLAB Documentation](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fd027b820-566b-4f93-80fa-561d2371b93e%2F05e3aab5-9f8c-469c-ab78-c897a340f774%2Fl8nguqi_processed.png&w=3840&q=75)
Transcribed Image Text:Solving First Order Differential Equations
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);
Ydsolve(dy==y,y(0) == 2);
Example 2:
Solve 2)=x√1-1²
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. + y = x,y(0) = 4
dx
3. dy+ysecx = COSX
ax
Script
1%Declare the variables, x, y(x) and dy(x)
3
4 %Solve equation 1, place final Answer as Y1
5 Y1 =
6 %Solve equation 2, place final answer as Y2
Y2 =
8 % Solve Equation 3
9 Y3 =
My Solutions >
Save C Reset E MATLAB Documentation
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