We convert this to a first-order system by introducing v = x° . The result is x° =v,and v° =-HkêmL x-HbêmL v. We define this equation for Mathematica in the special case when the initial
Use the first four equations to obtain asmptns = {f11*f21 == 0, f12*f22 == 0, f12*f21 - μ12 == 0, -1 + f11*f22 + μ12 == 0}; Simplify [μ12 (1 - μ12), asmptns] (* 0 *) So, if the
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Solution = DSolve [ {n1' [t] == A21*n2 [t] + (r*Exp [- ( (t - 2)/0.1)^2])* (n3 [t] - n1 [t]), n2' [t] == A32*n3 [t] - A21*n2 [t], n3' [t] == -A32* n3
Use DSolve to solve the differential equation for with independent variable : The solution given by DSolve is a list of lists of rules. The outermost list encompasses all the solutions available, and
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