 | Daniel Alexander Murray - 1898 - 316 pages
...equations. The order of a differential equation is the order of the highest derivative that appears in it. The degree of a differential equation is the degree of the highest derivative when the equation is * For fuller explanations than are given here, reference may be made... | |
 | U. K. Srivastava, G. V. Shenoy, S. C. Sharma - 1989 - 962 pages
...efv tfv dv , — ^3 + — -^ — 7 =0 Third order Equation contains the </v dx~ </v third derivative The degree of a differential equation is the degree of the highest order derivative. Examples: Differential equation Degree Reason — = 2x First The highest derivative is ax d\ — and... | |
 | N. P. Bali, N. Ch. Narayana Iyengar - 2004 - 1438 pages
...order ; equations (2) and (6) are of the second order while equation (5) is of the third order 666 (v) The degree of a differential equation is the degree of the highest order derivative which occurs in it provided the equation has been made free of the radicals and fractions as far as... | |
 | N. P. Bali - 2006 - 570 pages
...which appears in it. d2y eg , the differential equation — 5- + 4y = e* is of second order. dx 4. Degree of a Differential Equation. The degree of a...differential equation is the degree of the highest differential co-efficient which appears in it, when the differential coefficients are free from radicals... | |
 | Deepak Bhardwaj - 2006 - 984 pages
...occuring in the equation. The order of a differential equation is a positive integer. 10.3.2 Degree. The degree of a differential equation is the degree of the highest order differential co-efficient appearing in it, provided the differential co-efficients are made free from... | |
 | B. S. Vatssa - 2002 - 1512 pages
...differential equation.The order of (i), (iii), (iv) and (vi) is 1; and the order of (ii) & (v) is 2. 3. Degree of a Differential Equation The degree of a...equation is the degree of the highest order derivative which appears in the differential equation after making it free from radicals and fractions. л The... | |
 | D. Dutta - 2002 - 664 pages
...it is 5. It should be noted that the order of a differential equation is a positive integer. DEGREES OF A DIFFERENTIAL EQUATION: The degree of a differential...equation is the degree of the highest order derivative, when the differential coefficients are made free from radicals and fractions so far as derivatives... | |
 | Debashis Dutta - 2006 - 954 pages
...\dx~ ) It should be noted that the order of a differential equation is a positive integer. DEGREES OF A DIFFERENTIAL EQUATION The degree of a differential...equation is the degree of the highest order derivative, when the differential coefficients are made free from radicals and fractions so far as derivatives... | |
 | 794 pages
...of a differential equation is the order of the highest order derivative occurring in it. (379) (d) The degree of a differential equation is the degree of the highest order derivative occurring in the equation, when the derivatives are free from radicals and fractions. For example,... | |
 | 1166 pages
...fourth and eighth is one. The order of third, fifth, sixth, seventh differential equations is two each. The degree of a differential equation is the degree of the highest order differential coefficient appearing in it, provided the differential coefficients are made free from... | |
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The degree of a differential equation is the degree of the highest derivative after removing the radical sign and fraction. 
