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 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.d+y=x,y(0) = 4 3.d+ysecx=cosx

Np Ms Office 365/Excel 2016 I Ntermed
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Chapter8: Working With Advanced Functions
Section: Chapter Questions
Problem 1.12CP
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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);
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
My Solutions >
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 My Solutions >
Script>
1 %Declare the variables, x, y(x) and dy(x)
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 =
Save
C Reset
MATLAB Documentation
▶ Run Script ?
Transcribed Image Text:Script> 1 %Declare the variables, x, y(x) and dy(x) 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 = Save C Reset MATLAB Documentation ▶ Run Script ?
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