A Short Course in Differential Equations |
Contents
Definitions Elimination of Arbitrary Constants | 1 |
Equations of Order | 16 |
Elementary Applications | 45 |
Copyright | |
57 other sections not shown
Common terms and phrases
a₁ algebra arbitrary constants auxiliary equation b₁ c₁ and c₂ c₁e C₂ e²x c₂x constant coefficients cos² cosh curve dependent variable determine differential operator e-st F(t e²x e³x eigenvalues eigenvector equation of order EXAMPLE Exercises In exercises exponential order Figure first-order follows ft/sec Hence homogeneous initial conditions initial value problem integrating factor interval Laplace operator Laplace transform linear differential equation linear equation linearly independent m₁ m₂ matrix method motion obtain particular solution polynomial R₁ roots satisfy Section set of solutions Show sin x singular solution sinh solution of equation Solve the equation ẞt theorem vector velocity weight Wronskian x²y xy² y₁ yields zero ду дх Ур