Backward Euler Integration

Hello everyone,
I am writing a VI to simulate the response of a hydraulic system. Most of the program runs perfectly, but certain sections require integration which has proved to be a problem.
I have attempted to use 'Numeric Integration.vi', and have written a forward Euler subVI, which both fail to converge due to the nature of hydraulic systems. It seems that Backward Euler integration is the solution, but I have been unable to find a way to implement it.
I have tried evaluating the 'Control Design and Simulation' module, which has a range of integration methods, but the module itself seems unsuitable.
I was hoping somebody would have a better understanding of the equations than me, as the implicit nature of Backward Euler is causing me some difficulty.
Edit: I have attached a snippet which I have been using to test out possible solutions. It provides testing data and compares the result to the value I am aiming for, which was generated using different software.
Thanks,
Cameron
Solved!
Go to Solution.
Attachments:
Integration Options.png ‏809 KB

Just a side note: Your upper code can be replaced by a simple integral x(t).vi. Same result.
LabVIEW Champion . Do more with less code and in less time .
Attachments:
Integral.png ‏2 KB

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