The sixth and final volume in Andrew Russell Forsyth's Theory of Differential Equations series, concentrating specifically on partial differential equations.
The sixth and final volume in Andrew Russell Forsyth's Theory of Differential Equations series, concentrating specifically on partial differential equations.
12. General integrals of equations of orders higher than the first; 13. Linear equations of the second order in two independent variables: the Laplace-transformations; 14. Adjoint equations: linear equations having equal invariants; 15. Forms of equations of the second order in two independent variables having their general integrals in explicit finite form; 16. Equations of the second order in two independent variables having an intermediate integral; 17. Ampère's method applied to equations of the second order in two independent variables; 18. Darboux's method and other methods for equations of the second order in two independent variables; 19. Generalisation of integrals; 20. Characteristics of equations of second order: intermediate integrals; 21. General transformation of equations of the second order; 22. Equations of the third and higher orders, in two independent variables; 23. Equations of the second order in more than two independent variables, having an intermediate integral; 24. Equations of the second order in three independent variables, not necessarily having an intermediate integral; Index to Part IV.
12. General integrals of equations of orders higher than the first; 13. Linear equations of the second order in two independent variables: the Laplace-transformations; 14. Adjoint equations: linear equations having equal invariants; 15. Forms of equations of the second order in two independent variables having their general integrals in explicit finite form; 16. Equations of the second order in two independent variables having an intermediate integral; 17. Ampère's method applied to equations of the second order in two independent variables; 18. Darboux's method and other methods for equations of the second order in two independent variables; 19. Generalisation of integrals; 20. Characteristics of equations of second order: intermediate integrals; 21. General transformation of equations of the second order; 22. Equations of the third and higher orders, in two independent variables; 23. Equations of the second order in more than two independent variables, having an intermediate integral; 24. Equations of the second order in three independent variables, not necessarily having an intermediate integral; Index to Part IV.
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