query: Is there a non-trivial general solution to the ODE f'(x)=f(f(x))?
positive_passages.docid: 17154
positive_passages.text: Does a non-trivial solution exist for $f'(x)=f(f(x))$?
negative_passages.docid: 69911
negative_passages.text: Does non-uniqueness of solution to 1st order ODE implies the existence of infinitely many solutions?
negative_passages.docid: 75452
negative_passages.text: Initial value problem with $t$ and $x'$
negative_passages.docid: 117338
negative_passages.text: Counterexample to second derivative test when f''(x) is not continuously differentiable
negative_passages.docid: 21339
negative_passages.text: IF $f(x) = \int_{0}^{\phi (x)} g(t) dt$, How could we find $f'(x)$?
negative_passages.docid: 147937
negative_passages.text: Second-order non-linear ODE
negative_passages.docid: 84689
negative_passages.text: solving third-order nonlinear ordinary differential equation
negative_passages.docid: 114307
negative_passages.text: Are Exponential and Trigonometric Functions the Only Non-Trivial Solutions to $F'(x)=F(x+a)$?
negative_passages.docid: 158444
negative_passages.text: Is this periodic solution unique? (ODE)
negative_passages.docid: 145504
negative_passages.text: Help solving variable separable ODE: $y' = \frac{1}{2} a y^2 + b y - 1$ with $y(0)=0$
negative_passages.docid: 102662
negative_passages.text: Nonlinear differential equation: numerical solution
negative_passages.docid: 57431
negative_passages.text: How are second order nonlinear ordinary differential equations solved?
negative_passages.docid: 113431
negative_passages.text: Why does reduction of order work for linear ODEs?
negative_passages.docid: 127582
negative_passages.text: Solving of a seperable differential equation
negative_passages.docid: 23465
negative_passages.text: When $f(x+1)-f(x)=f'(x)$, what are the solutions for $f(x)$?
negative_passages.docid: 65077
negative_passages.text: Differential Equations, unique solution
negative_passages.docid: 71465
negative_passages.text: solution of $y' = \exp \left(-\frac yx\right) + \frac yx$