A Treatise on Differential Equations, Band 1

admit application arbitrary constant assume becomes Cambridge Chap Chapter cloth College complete primitive condition connected considered containing corresponding Crown 8vo curve deduce definite dependent derived determined differential coefficients dx dy dx² dy dx dy dy Edition effected eliminating equa equal exact differential example exist expressed factor final given equation gives Hence homogeneous homogeneous functions illustrate independent infinite integral integrating factor involving lead limit linear means method multiplying Notes obtained operation origin partial differential equation particular positive possible present problem proposed question reduced referred regarding relation represent respect result satisfied Schools second member second order Shew singular solution substituting suppose symbolical theorem theory tion transformation variables whence