Fermi · Concept Library · Courses · Books · Problems · Simulations · Math Wiki · High School Fermi › Problems Ordinary Differential Equations and Dynamical Systems Vol2 · Problem 6.1
Linearization and Invariant Manifolds
Mathematics — Calculus · initial-value-problem-maximal-existence-time
Problem Find an expression for the solution x ( t , s , x 0 , p , q ) x(t, s, x_0, p, q) x ( t , s , x 0 , p , q ) x ′ = ( 1 + t 2 ) − q / 2 ∣ x ∣ p , x ( s ) = x 0 , p > 1 , q > 0 x' = (1 + t^2)^{-q/2}|x|^p, \quad x(s) = x_0, \quad p > 1, \quad q > 0 x ′ = ( 1 + t 2 ) − q /2 ∣ x ∣ p , x ( s ) = x 0 , p > 1 , q > 0 β ( s , x 0 , p , q ) \beta(s, x_0, p, q) β ( s , x 0 , p , q ) Browse the problem library