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weak form PDE

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Can anyone help me solve a differential equation (solve for x) using time dependent weak form boundary PDE module. The equation is dx/dt = a(1-x)-b(x). I tried to write expressions x_test*(a*(1-x)-b*x) in weak form PDE and the expression x_test*x_time in weak contribution steps. I dont know if it is right or not. I also tried to change the expressions test(x)*(a*(1-x)-b*x) and test(x)*d(x,t) instead of above two. I have values for a and b. I appreciate your help.

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