{"kind":"task","effective_mode":"full","benchmark":{"kind":"benchmark","effective_mode":"full","slug":"ds-1000","formal_name":"DS-1000","introduction":"DS-1000 builds 1,000 data-science problems from real StackOverflow questions across seven libraries including NumPy, Pandas and Matplotlib. The problems are perturbed so that recalling the original answer does not solve them.","introduction_ja":"","introduction_en":"","category":"Category not supplied","task_count":null,"acquisition_status":"Acquisition status not supplied","official_url":"https://ds1000-code-gen.github.io/","indexing_mode":"index","profile":{"resources":[],"task_format":"","scoring":"","metric":"","size":"","answer_access":"","license":"","citation":"","maintainer":"","released":"","why_hard":"","related":[],"history":"","construction":"","limitations":"","saturation":"","scores":[]}},"task_id":"d7e5202c-6fc5-58c2-a4ef-d6c505f14f7c","task_key":"default--test--789","task_revision_id":"1","upstream_id":"789","short_description":"I’m trying to solve a simple ODE to visualise the temporal response, which works…","config":"default","split":"test","body":"{\"library\":\"Scipy\",\"prompt\":\"Problem:\\nI’m trying to solve a simple ODE to visualise the temporal response, which works well for constant input conditions using the new solve_ivp integration API in SciPy. For example:\\ndef dN1_dt_simple(t, N1):\\n    return -100 * N1\\nsol = solve_ivp(fun=dN1_dt_simple, t_span=[0, 100e-3], y0=[N0,])\\nHowever, I wonder is it possible to plot the response to a time-varying input? For instance, rather than having y0 fixed at N0, can I find the response to a simple sinusoid? Specifically, I want to add `t-sin(t) if 0 < t < 2pi else 2pi` to original y. The result I want is values of solution at time points.\\nIs there a compatible way to pass time-varying input conditions into the API?\\nA:\\n<code>\\nimport scipy.integrate\\nimport numpy as np\\nN0 = 1\\ntime_span = [0, 10]\\n</code>\\nsolve this question with example variable `sol` and set `result = sol.y`\\nBEGIN SOLUTION\\n<code>\"}","display_format":"code","language":"","answer_status":"published","assets":[],"source_url":"https://ds1000-code-gen.github.io/","history":"initial import","indexing_mode":"index","subproblems":[],"grids":[]}