I have been trying to solve this differential equation for two days now. I do not know what to do with the right hand side of the ODE. The only way I have seen to solve it does not include the derivative of the input as well. Would really appreaciate some help atleast to know how to start it up.
y^''' (t)+6y^'' (t)+11y^'(t) +6y(t)=u^'' (t)+2u^' (t)+3u(t)
y’’(0) = 1 ; y’(0) = -1; y(0) = 1
where u=Unit step Us(t).
Ive tried to do it in simulink but the answers there havent been coming out right either.