# Questions tagged [equation-solving]

Questions on the analytic and numerical equation solving functions of Mathematica (Solve, Reduce, NSolve, FindRoot, DSolve, RSolve, etc.).

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### Two first order non-linear differential equation: Using DSolve to obtain the solutions analytically

I have two simple first order (coupled) differential equations which I denote as system together with its initial conditions ...
56 views

### Inverse function and Integral: How to simplify this DSolve output?

I'm trying to DSolve these equations with each other: ...
60 views

### Three Coupled ODEs

I've been trying to solve it with Mathematica Order of DSolve but I'm not getting Anywhere! so if anyone got an idea i would be glad to tell me how to get answer p.s:I just want solution and Numerical ...
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### How to solve for the velocity? [closed]

Given the equation: $m \dfrac{\mathrm dv}{\mathrm dt} = m g_{e} - \beta v^{2}$ the velocity evaluates to $v(t) = \sqrt{\dfrac{m g_{e}}{\beta}} \tanh \dfrac{t}{\sqrt{\dfrac{m}{\beta g_{e}}}}$. In ...
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### DSolve with initial conditions

I am having trouble solving differential equations with initial conditions, and unfortunately the answers given in similar questions in this forum don't seem to work for me. My final goal is to solve ...
99 views

### How to solve a non-linear equation

I want to solve an equation $$\log \left(\frac{b}{y}\right)=\left(\frac{x}{y}-a\right)^{\beta}.~~~~~~~~~(1)$$ Solve[Log[b/y] == (x/y - a)^\[Beta], y] Here $b$, $x$,...