Solving differential equations with Simulink

Can someone explain what differential equation is being solved below? The input is a ramp input.

Answer 1

[Birdman]

If you consider the ramp imput as a function

r(t)=t;

then the equation becomes

If you code this in MATLAB:

syms x(t)
eq=t-4*x==diff(x,2);
X(t)=dsolve(eq);%without giving initial conditions

and you will obtain

X(t) =

t/4+C1*cos(2*t)-C2*sin(2*t)

[Aleem Andrew]

Thank you for answering.