# How does DifferentialEquations give a continuous curve for plotting?

**URL:** <https://discourse.julialang.org/t/how-does-differentialequations-give-a-continuous-curve-for-plotting/109588>\
**Category:** Modelling & Simulations\
**Created:** [February 1, 2024, 6:44pm UTC](https://discourse.julialang.org/t/how-does-differentialequations-give-a-continuous-curve-for-plotting/109588 "2024-02-01T18:44:07Z")\
**Posts on this page:** 2\
**Page:** 1

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**Author:** ![MatheusJanczkowski](https://sea2.discourse-cdn.com/julialang/user_avatar/discourse.julialang.org/matheusjanczkowski/32/206380_2.png) [@MatheusJanczkowski](https://discourse.julialang.org/u/MatheusJanczkowski)\
**Post date:** [February 1, 2024, 6:44pm UTC](https://discourse.julialang.org/t/how-does-differentialequations-give-a-continuous-curve-for-plotting/109588/1 "2024-02-01T18:44:07Z")

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When I plot the solution given by some solver in DifferentialEquations, Tsit5 for instance, it gives a continuous curve (i.e., it has a lot of points). If I plot the points that the solver generated, however, they are just a few. How does the package actually create this extra set of points for plotting? Is it a kind of interpolation?

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**Author:** ![bertschi](https://sea2.discourse-cdn.com/julialang/user_avatar/discourse.julialang.org/bertschi/32/33462_2.png) [@bertschi](https://discourse.julialang.org/u/bertschi)\
**Post date:** [February 1, 2024, 7:48pm UTC](https://discourse.julialang.org/t/how-does-differentialequations-give-a-continuous-curve-for-plotting/109588/2 "2024-02-01T19:48:03Z")

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Yes, the manual has some details on that: [Interpolations and calculating derivatives](https://docs.sciml.ai/DiffEqDocs/stable/basics/solution/) (you might need to scroll down a bit to that section)