I'm trying to input a second order differential equation to solve into matlab over x = 0 to x =1. I can't figure out how. Here's the equation:
\displaystyle y'' = 1 + 0.1 \sqrt{1+(y')^2}
with initial conditions at zero.
I'm trying to input a second order differential equation to solve into matlab over x = 0 to x =1. I can't figure out how. Here's the equation:
\displaystyle y'' = 1 + 0.1 \sqrt{1+(y')^2}
with initial conditions at zero.
MATLAB doesn't support second order differential equations outright; it's your job to turn your problem into a system of first order differential equations, as mentioned here.
To wit, first construct the appropriate function
:
function dy = rapidash(t,y) dy = zeros(2,1); dy(1) = y(2); dy(2) = 1+0.1*sqrt(1+y(2).^2);
and, using ode45()
as an example, ode45(@rapidash,[0,1],(conditions))
.