How can I Solve a Second Order ODE with ODE45?

So I I have to solve the following ODE for y(t) using the ODE45 tool in MATLAB:

The ODE that I have to solve is:

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

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

[Jan]

What have you tried so far and which problems do you have?

[Jack Glendenning]

It's ok I managed to solve it: (note the question i have been given was actually in terms of x(t). I thought y(t) might be easier for people to see. That's why i asked with y(t).

%%Solving Second order ODE via ode45

%Will solve 0.13x''+0.27x'-0.35/x+3.5=1.2753

%x(2)=x(1)'

%eq1: x(1)'=x(2)

%eq2: x(2)'=(1.2753-3.5+0.35/x(1)-0.27*x(2))/0.13

ODEFUN = @(t,x) [x(2);(1.2753-3.5+0.35/x(1)-0.27*x(2))/0.13];

TSPAN = [0 5];

X0=[0.03;0];

[TOUT, XOUT]= ode45(ODEFUN, TSPAN, X0); figure

plot(TOUT,XOUT)

Answer 1

[Torsten]

There is a singularity in t=0 ...

Best wishes

Torsten.