Differential Equations with Boundary-value ProblemsIncludes solutions to odd-numbered exercises. |
Contents
An Introduction to Differential Equations | 2 |
FirstOrder Differential Equations | 33 |
18 | 71 |
Copyright | |
12 other sections not shown
Common terms and phrases
a²u Answers to odd-numbered auxiliary equation boundary conditions boundary-value problem c₁ c₁e c₁x c₂ Cauchy-Euler equation coefficients constant convergence cosh curves d²y defined determine dt dt dx dx dx dy dx² dy dx eigenvalues eigenvector equation of motion equilibrium position Euler EXAMPLE Exercises family of solutions formula Fourier series function fundamental set given differential equation graph Hence homogeneous indicial equation initial conditions initial-value problem integral interval k₁ k₂ Laplace transform linear equation linearly independent m₁ m₂ mass matrix method Miscellaneous problems nonhomogeneous obtain odd-numbered problems begin orthogonal trajectories particular solution polynomials r₁ r₂ regular singular point satisfies second-order simple harmonic motion sinh solve the given spring ẞx substitution superposition principle temperature Theorem variables vector weight Wronskian X₁ x²y y₁ y₁(x zero ηπ ди