# What is Julia Package that is able to compute General Solution with Method of Integrating Factors?

**URL:** <https://discourse.julialang.org/t/what-is-julia-package-that-is-able-to-compute-general-solution-with-method-of-integrating-factors/89139>\
**Category:** General Usage\
**Tags:** question, package\
**Created:** [October 23, 2022, 11:52am UTC](https://discourse.julialang.org/t/what-is-julia-package-that-is-able-to-compute-general-solution-with-method-of-integrating-factors/89139 "2022-10-23T11:52:27Z")\
**Posts on this page:** 2\
**Page:** 1

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**Author:** ![Freya\_the\_Goddess](https://sea2.discourse-cdn.com/julialang/user_avatar/discourse.julialang.org/freya_the_goddess/32/36835_2.png) [@Freya\_the\_Goddess](https://discourse.julialang.org/u/Freya_the_Goddess)\
**Post date:** [October 23, 2022, 11:52am UTC](https://discourse.julialang.org/t/what-is-julia-package-that-is-able-to-compute-general-solution-with-method-of-integrating-factors/89139/1 "2022-10-23T11:52:27Z")

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Hi all,

I want to solve this initial value problem

2y' + ty = 2

y(0)=1

the answer from the book for the general solution is

y = e^{-t^{2}/4} \int^{t} e^{s^{2}/4} \ ds + ce^{-t^{2}/4}

Edit: I want the answer in analytical / variable terms not numeric answer. If there is any package that I can use in Julia please do tell me.

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**Author:** ![ChrisRackauckas](https://sea2.discourse-cdn.com/julialang/user_avatar/discourse.julialang.org/chrisrackauckas/32/77_2.png) [@ChrisRackauckas](https://discourse.julialang.org/u/ChrisRackauckas)\
**Post date:** [October 23, 2022, 1:15pm UTC](https://discourse.julialang.org/t/what-is-julia-package-that-is-able-to-compute-general-solution-with-method-of-integrating-factors/89139/2 "2022-10-23T13:15:56Z")

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> [@Freya\_the\_Goddess](#):
>
> I do not know how to turn my differential equation 2y’ + ty=2 2y′+ty=22y’ + ty=2 into u’ = f(p,u,t) u′=f(p,u,t)u’ = f(p,u,t) , and I want the answer in variable terms not numeric answer.

DifferentialEquations.jl is for numerical solvers.