 | Edgar Jerome Townsend, George Alfred Goodenough - Calculus - 1908 - 522 pages
...involved. Thus equations (2) and (4) are of the first order, (1) and (5) of the second order, and (3) of the third order. The degree of a differential equation is the degree of the derivative of highest order after the equation is cleared of fractions and radicals.... | |
 | Ellery Williams Davis, William Charles Brenke - Calculus - 1912 - 514 pages
...powers. The order of a differential equation is the order of the highest derivative present in it. The degree of a differential equation is the exponent of the highest power of the highest derivative, the equation having been made rational and integral in the derivatives which occur... | |
 | Ovid Wallace Eshbach, Byron D. Tapley - Technology & Engineering - 1990 - 2104 pages
...derivative involved. Thus in Eqs. (2.270)-(2.272), the order is two; in (2.273), the order is one. The degree of a differential equation is the exponent of the highest order appearing in the equation after it is rationalized and cleared of fractions with respect to the... | |
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... of the third order. The degree of a differential equation is the exponent of the highest... 