Why is the answer TRUE TRUE? For the second one it is trivial but for the first one how can we know there will be a unique solution? shouldn't y(x) be required to be lipshitz for that to be true?
2026-04-12 08:42:02.1775983322
Differential equation existence of a unique solution?
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This is a linear differential equation with continuous coefficients on its domain. On all $[a,b]\subset(0,\infty)$ the coefficient function $\frac1{x^2}$ is bounded, has a maximum, which is the local Lipschitz constant.