first order nonlinear ordinary differential equation simulink

I want to solve first order nonlinear differential equation.

dy/dt = 10*y ^ k (y has power k)

Is it possible to solve this equation in simulink. I tried to solve this equation in simulink, but it is showing error that output is NaN at some point of time.

I am passing output of integral block to the input of math function block (power). second input to math function block is k. 

 Output of math-function block is given input to gain block (gain value 10). and finally output of this block is given to input of integral block.
  Is it the right approach??

If this is not right approach then how to solve this equation in simulink.

Regards Jeevan Patil

[RahulTandon]

it is possible to easily attach your simulink file to the question. please do it. Will make life simpler for me!

Answer 1

[Sebastian Castro]

That is the correct modeling approach, but for all k>0 that system is unstable.

That is why you're getting the error messages, as the integrator state keeps getting bigger and bigger over time.

- Sebastian