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Exercise 106

Avg difficulty 2.5

Consider an equation of the form y′=f(x)y' = f(x) for some continuous function ff, and an initial condition y(x0)=y0y(x_0) = y_0. Does a solution exist for all xx? Why or why not?

Lebl, Notes on Diffy Qs, §1.2 Slope fields, exercise 106

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Adapted from Notes on Diffy Qs © 2008–2026 Jiří Lebl. Licensed under CC BY-SA 4.0. Source: Notes on Diffy Qs: Differential Equations for Engineers. Imported at revision 658bcae.