| 31. | Consider the following system of partial differential equations for a function:
|
| 32. | This representation exploits the linear property of the logistic differential equation:
|
| 33. | Since parameter b is constant, adjoin the trivially true differential equation
|
| 34. | This series expansion is extremely useful in solving partial differential equations.
|
| 35. | The solutions to the differential equation are a family of functions.
|
| 36. | Thus, the differential equation solutions can be classified into homotopy classes.
|
| 37. | The Gauss Manin connection corresponds to the second-order differential equation
|
| 38. | It is also a prototype solution of a differential equation.
|
| 39. | In mathematics, it is the prototypical parabolic partial differential equation.
|
| 40. | His doctoral thesis was in the field of differential equations.
|
