Solution Techniques
The following techniques apply to one-dimensional autonomous differential equations. Any one-dimensional equation of order is equivalent to an -dimensional first-order system (as described in Ordinary differential equation#Reduction to a first order system), but not necessarily vice versa.
Read more about this topic: Autonomous System (mathematics)
Famous quotes containing the words solution and/or techniques:
“What is history? Its beginning is that of the centuries of systematic work devoted to the solution of the enigma of death, so that death itself may eventually be overcome. That is why people write symphonies, and why they discover mathematical infinity and electromagnetic waves.”
—Boris Pasternak (1890–1960)
“The techniques of opening conversation are universal. I knew long ago and rediscovered that the best way to attract attention, help, and conversation is to be lost. A man who seeing his mother starving to death on a path kicks her in the stomach to clear the way, will cheerfully devote several hours of his time giving wrong directions to a total stranger who claims to be lost.”
—John Steinbeck (1902–1968)