 ... of various orders. The order of a differential equation is the order of the highest derivative which occurs in it. A solution of a differential equation is any relation between the variables, which, when substituted in the given equation, will satisfy...  An Elementary Treatise on Differential Equations - Page 1by Abraham Cohen - 1906 - 271 pagesFull view - About this book
 | Edward Vermilye Huntington, Louis Albert Fischer - Engineering - 1916 - 196 pages
...any relation between the variables, which, when substituted in the given equation, will satisfy it. The general solution of an ordinary differential equation of the nth order will contain n arbitrary constants. A differential equation is usually said to be solved when the problem... | |
 | Lionel Simeon Marks - Mechanical engineering - 1916 - 1922 pages
...any relation between the variables, which, when substituted in the given equation, will satisfy it. The general solution of an ordinary differential equation of the nth order will contain n arbitrary constants. A differential equation is usually said to be solved when the problem... | |
 | Edward Vermilye Huntington - Engineering - 1918 - 226 pages
...any relation between the variables, which, when substituted in the given equation, will satisfy it. The general solution of an ordinary differential equation of the nth order will contain n arbitrary constants. A differential equation is usually said to be solved when the problem... | |
 | William Suddards Franklin, Barry MacNutt - Mechanics - 1919 - 248 pages
...xz-plane. That is Fig. 158. to say, the integration of — = a ox gives y = ax + F(z) Proposition. — The general solution of an ordinary differential equation of the nth order contains n unknown constants of integration. The general solution of a partial differential equation... | |
 | Ovid Wallace Eshbach, Byron D. Tapley - Technology & Engineering - 1990 - 2104 pages
...differential equation is a relation among the variables that satisfies the equation identically. A general solution of an ordinary differential equation of the nth order is one that contains n independent constants. Thus, y - sin x + c is a general solution of the equation dy/dx =... | |
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