Nonlinear realization in Simulink

Hi, i have a question about nonlinear realization in Simulink. I have this differential function:

Is this the correct way to realize this non linear differential function?

[Fangjun Jiang]

It looks correct.

[Jan Vidlak]

So the block that contains 0.5*u^2 is correct? I tried in other ways to have 0.5 in gain before and after u^2 block and i had different values. That is why i am asking hah.

[Fangjun Jiang]

It is correct. Formula 0.5*u^2 means 0.5*(u^2). If you want to pull the gain of 0.5 out, it has to be after the u^2 block. "u" means whatever is the input. If putting 0.5 gain before u^2 block, you got effective (0.5*y)^2.

Another way is to use the Product block to do y*y

[Jan Vidlak]

Thank you!:)