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| I have the following system dxdt[x_,y_] := a x^2 - b y^3 + c; dydt[x_,y_] := d x^3 - e y^2 + f ; Eqs[x_,y_] = {dxdt[x,y], dydt[x,y]}; JacobianEqs[x_,y_] = D[Eqs[x,y],{{x,y}}] I would like now to add terms to specific elements... |
| I am trying to assign a function which is a derivative of a previous on: f[x_] := x^2; D[f[x], x] I would like `j` to be the derivative of `f`, so it would be also a function of `x` (namely, `2x`) How do I do that? Trying to use do... |
| I am trying to solve this equation for $b_0$ - $$ -\frac{\alpha p (b_0 \rho_h+1) (b_0+f q)}{-\alpha {b_0}^2 \rho_h-\alpha {b_0}-\alpha {b_0} f q \rho_h-{b_0} \nu_h - \alpha f q- \nu_h q}-\frac{{b_0} \gamma }{1-{b_0}}-\frac{\nu_w}{(1-{b_0})... |
| I have the following system of equations $$ exp1 = c \partial_{\chi} u_B + 2 u_B (u_B h_1 + v_B h_2) + \nu v_B + \beta v_B (u_B^2 + v_B^2) + \alpha \partial_{\chi}^2 v_B == 0\\ exp2 = c \partial_{\chi} v_B + 2 v_B (u_B h_1 + v_B h_2) - \nu u_B -... |
| I have the following expression for $\sigma$ $$\sigma = \lambda -15 (\rho_a^2 + \rho_b^2) + \sqrt{9(\rho_a^4 + \rho_b^4) + \gamma^2 - 48 \gamma \rho_a \rho_b + 558 \rho_a^2 \rho_b^2} $$ And I wish to find the ranges of $\lambda$ for which $\sigma$... |
| I get an error that I don't understand when I try to replace expressions into the Complex Ginzburg Landau equation. I got the following error Coefficient::ivar: 1 is not a valid variable. >> q M a n i p u l a t e ` D u m p ` I... |
| I tried to solve the following set of equations $$- v_+ = C_1 \sinh (C_2) \\ -v_+ = \sinh(-s_+ q + C_2), $$ where $v_+$, $s_+$ and $q$ are constants and I try to solve for $C_1$ and $C_2$ using this code line - `Solve[-vplus == C*sinh[B] && -vplus... |
| Hollo, I am trying to solve a second order nonlinear ODE with a given boundary conditions at infinity. My equation looks like this $$\frac{d^2 u}{dx^2} = - \frac{dV}{du} $$ where $V=\frac{1}{2}u^2 - \frac{1}{4}u^4$. I tried to use this line ... |
| Hello, I am new to Wolfram Mathematica, and I try to work with it to plot bifurcation diagram. The quest is to plot lines that are continous in one range and dashed in another range. The key point is that there is a function that gives me the... |