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: Solved=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.+y=x, y(0)=4 3. d +ysecx cosSX
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: Solved=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.+y=x, y(0)=4 3. d +ysecx cosSX
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: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 =x√1-y²
dx
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
dy
2+ y = x, y(0) = 4
dx
2.
3. dy+ysecx = cosx
dx
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