query: Why are we allowed to move over "dt" terms when solving separable differential equations?
positive_passages.docid: 7474
positive_passages.text: What am I doing when I separate the variables of a differential equation?
negative_passages.docid: 149344
negative_passages.text: Solve a differential equation and evaluate the solution at a particular value of independent variable
negative_passages.docid: 36574
negative_passages.text: Does separation of variables in PDEs give a general solution?
negative_passages.docid: 75612
negative_passages.text: Why are differential equations for fields in physics of order two?
negative_passages.docid: 31979
negative_passages.text: Notation: Why write the differential first?
negative_passages.docid: 33351
negative_passages.text: Can NDSolve handle discontinuous data?
negative_passages.docid: 123882
negative_passages.text: Differential equation: autonomous system
negative_passages.docid: 33691
negative_passages.text: Confusion about a particular differential form being exact?
negative_passages.docid: 67641
negative_passages.text: Why should field operators satisfy the classical equations of motion?
negative_passages.docid: 16786
negative_passages.text: Is there any case in physics where the equations of motion depend on high time derivatives of the position?
negative_passages.docid: 91705
negative_passages.text: Coaxing DSolve to produce an implicit solution
negative_passages.docid: 36990
negative_passages.text: Notation of the second derivative - Where does the d go?
negative_passages.docid: 111611
negative_passages.text: When can we add a total time derivative of $f(q, \dot{q}, t)$ to a Lagrangian?
negative_passages.docid: 31102
negative_passages.text: Why does $\frac{1}{r}\frac{dr}{d\theta} = \cot \psi$?
negative_passages.docid: 60396
negative_passages.text: How to Solve the Coupled Differential Equations?
negative_passages.docid: 48756
negative_passages.text: Why are derivatives in interaction terms treated differently from derivatives in the kinetic term?
negative_passages.docid: 35526
negative_passages.text: What's the proper way to typeset a differential operator?