Question
How can we model this equation in simulink dx/dy + x + y = 1 where x is the input and y is the output?
Expert Answer
Neeta Dsouza
PhD Expert
Answered Nov 20, 2025
Re-write as
dx/dy = 1 - x - y % y is your independent variable, sort of "t"
therefore
dy/dx = 1/(1 - x - y)
Then, from left to right (in your Simulink block diagram) you have
- a summation block, adding up the right hand side, and taking the reciprocal value
- the output goes into an integrator block that outputs y, which is the solution and also feeds back into the summation block
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