Use MATLAB Editor to create a Linearizing Program

Have to Linearize the following ODE using MATLAB Editor:

13y''+0.27y'-0.35/y +3.5=1.2753

y(0)=0

y'(0)=0 for 0<= t <=5

Answer 1

[Bhavesh]

For a 2nd order differential equation of the form - y'' + p(t) y' + q(t)y = g(t) with initial conditions - y(to) = yo and y'(to) = y1

We assign x1 = y; x2 = y0

Step 1) First convert 2nd order equation to an equivalent system of 1st order equations.

• Let x1 = y and x2 = y'

Thus,

• x1' = x2
• x2' = -q(t)x1 - p(t)x2 + g(t)

Step 2) Create and save a .m file which will return a vector-valued function

function xp=eg1(t,x)
xp=zeros(2,1);
xp(1)=x(2);
xp(2)=(0.35/13)*x(1)-(0.27/13)*x(2)+(1.2753/13);
end

Step 3) Call the function by using the command -

[t,x]=ode45('eg1',[0,5],[0,0]);

[Jack Glendenning]

I finally understand now. Thank-you very much Bhavesh! That was very helpful.

[Bhavesh]

It was my pleasure to help you and I am glad that the workaround resolved the issue.