solving the block mode I am trying to find the region of stability for the block mode given in the image
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Welcome to SE. Please use JAX syntax when typing equations. Parts of your equations are not readable even under extreme magnification. A tutorial can be found here https://math.meta.stackexchange.com/questions/5020/mathjax-basic-tutorial-and-quick-reference – Carl Christian Jul 19 '17 at 21:17
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Please provide a bit of context and define all variables explicitly. In particular, is $yp$ equal to the the derivative of $y$? – Carl Christian Jul 19 '17 at 21:19