Page 1 of 1
4 (4) Consider the IVP y = 1+ y² y(0) = 0. (a) Verify that y(x) = tan(x) is the solution to this IVP. (b) Both f(x, y) =
Posted: Tue Jul 12, 2022 12:53 pm
by answerhappygod
- 4 4 Consider The Ivp Y 1 Y Y 0 0 A Verify That Y X Tan X Is The Solution To This Ivp B Both F X Y 1 (20.73 KiB) Viewed 27 times
4 (4) Consider the IVP y = 1+ y² y(0) = 0. (a) Verify that y(x) = tan(x) is the solution to this IVP. (b) Both f(x, y) = 1+ y² and f(x, y) = 2y are continuous on the whole ry-plane. Yet the solution y(x) = tan(x) is not defined for all - < x < oo. Why does this not contradict the theorem on existence and uniqueness (Theorem 2.3.1 of Trench)? (c) Find the largest interval for which the solution to the IVP exists and is unique.