Differential Equations |
Contents
Introduction | 1 |
The degree of the Arbitrary Constant in the general | 20 |
ARTICLE | 43 |
Copyright | |
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algebraical factors arbitrary constants auxiliary equation c-discriminant relation c₁ c₂ Chapter Clairaut's equation Cn yn commutative operational constant coefficients d²y d2y dy d³y dependent variable directly occurring double points dx² dx2 dx eliminating Envelope Locus equa equal Equation ƒ equation is reduced Examples for solution f₁ f₂ factors of ƒ ƒ D given differential equation given equation given system Hence integrating factor inverse operator k₁ k₂ last equation left hand side linear differential equation m₁ method obtained operational factors orthogonal trajectories P₁ particular integral R₁ rational integral function respect result roots sin x singular solution solution of equation Solve the differential substitution system of curves system x tangent term trajectories u₁ V₁ zero αχ аф ду дх