Recent content by bpcraig

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    Graduate Relationship between radius of curvature and slope

    Hello all, We know that for some well-behaved, smooth/continuous, twice differentiable function of x, f[x] there exists at each point a slope (f ' [x]) and a radius of curvature \rho [x]=\frac{\left(1+f'[x]^2\right)^{\frac{3}{2}}}{f\text{''}[x]} It also seems intuitive to think that at...
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    Graduate Solve Nonlinear First Order Differential Equation | y'(t)=y(t)^3+f(t)

    Maybe I'm just dumb... y'(t)=y(t)^3+f(t) find y(t) Thanks...