query: How to express a 2nd order ODE as 1st order ODE's?
positive_passages.docid: 24510
positive_passages.text: Reduce ODE into 1st order
negative_passages.docid: 40522
negative_passages.text: How to solve these ODEs using NDSolve?
negative_passages.docid: 81437
negative_passages.text: Find the value of $y(1)$ of the ODE $y'+y=|x|$.
negative_passages.docid: 60897
negative_passages.text: Non-integer order derivative
negative_passages.docid: 126235
negative_passages.text: Why does DSolve return two solutions for my ODE?
negative_passages.docid: 38839
negative_passages.text: Exponential of the differential operator
negative_passages.docid: 66639
negative_passages.text: Second Derivative
negative_passages.docid: 57630
negative_passages.text: Second order homogeneous differential equations: why do repeated roots modify the solution set?
negative_passages.docid: 20280
negative_passages.text: Proving that expression is equivalent to the definition of derivative
negative_passages.docid: 40184
negative_passages.text: Notation in partial differentiation
negative_passages.docid: 67807
negative_passages.text: Calculating the error in the solution of a system of ODEs
negative_passages.docid: 124702
negative_passages.text: How to `ParametricPlot` a system of ODEs for a set of initial conditions?
negative_passages.docid: 95471
negative_passages.text: Explanation and proof of the 4th order Runge-Kutta method
negative_passages.docid: 148498
negative_passages.text: Specific system of differential equations
negative_passages.docid: 12726
negative_passages.text: Differentiating both sides of a non-differential equation
negative_passages.docid: 136692
negative_passages.text: Why should the spatial derivative order of the ODE *not* exceed two?
negative_passages.docid: 105293
negative_passages.text: Proof of the second symmetric derivative