I am trying to implementation the following equation \begin{equation} x''+4x'+25=\sin(20t+36) \end{equation}

using OP-Amp's. I tried to use state-space circuits to implement it in the below circuit

x is the voltage of output node of up-right OP-Amp. But the problem is I don't have the x term in the equation. In other words the transfer function is of the form \begin{equation} \frac{1}{s(s+4)} \end{equation} The 1/s term is problematic, the above circuit gives us low-pass characteristic of the form \begin{equation} \frac{1}{s^2+b_1s+b_0} , b_0\neq 0 \end{equation} What do you guys suggest I do to get the correct setup?

Also I noticed that if we introduce \begin{equation} y=x' , y'=x'' \end{equation} we can do something with it, but I can't figure out how? any help would be appreciated.

I am trying to implementat the following equation \begin{equation} x''+4x'+25=\sin(20t+36) \end{equation}

using OP-Amp's. I tried to use state-space technique to implement it in the below circuit

x is the voltage of output node of up-right OP-Amp. But the problem is I don't have the x term in the equation. In other words the transfer function is of the form \begin{equation} \frac{1}{s(s+4)} \end{equation} The 1/s term is problematic, the above circuit gives us low-pass characteristic of the form \begin{equation} \frac{1}{s^2+b_1s+b_0} , b_0\neq 0 \end{equation} What do you guys suggest I do to get the correct setup?

Also I noticed that if we introduce \begin{equation} y=x' , y'=x'' \end{equation} we can do something with it, but I can't figure out how? Also if another circuit configuration is better, please suggest it so I switch to that. The above circuit gives me wrong output when I simulate in OrCAD-PSpice , it is a homework for my (circuit-I) class and I thought it would take only 4 hours to solve but it's been a long 24 hours now 😂, I really need help.

Any help would be appreciated.

I am trying to implementation the following equation \begin{equation} x''+4x'+25=\sin(20t+36) \end{equation}

using OP-Amp's. I tried to use state-space circuits to implement it in the below circuit

But the problem is I don't have the x term in the equation. In other words the transfer function is of the form \begin{equation} \frac{1}{s(s+4)} \end{equation} The 1/s term is problematic, the above circuit gives us low-pass characteristic of the form \begin{equation} \frac{1}{s^2+b_1s+b_0} , b_0\neq 0 \end{equation} What do you guys suggest I do to get the correct setup?

Also I noticed that if we introduce \begin{equation} y=x' , y'=x'' \end{equation} we can do something with it, but I can't figure out how? any help would be appreciated.

I am trying to implementation the following equation \begin{equation} x''+4x'+25=\sin(20t+36) \end{equation}

using OP-Amp's. I tried to use state-space circuits to implement it in the below circuit

x is the voltage of output node of up-right OP-Amp. But the problem is I don't have the x term in the equation. In other words the transfer function is of the form \begin{equation} \frac{1}{s(s+4)} \end{equation} The 1/s term is problematic, the above circuit gives us low-pass characteristic of the form \begin{equation} \frac{1}{s^2+b_1s+b_0} , b_0\neq 0 \end{equation} What do you guys suggest I do to get the correct setup?

Also I noticed that if we introduce \begin{equation} y=x' , y'=x'' \end{equation} we can do something with it, but I can't figure out how? any help would be appreciated.