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MMLU-Pro / 8510 / Derive the solution y = f(t) to the following IVP. …

Problem

Answer published by the source. Consult the official source to check your work against its answer.

question

Derive the solution y = f(t) to the following IVP. $ty' - 2y = t^5sin(2t) - t^3 + 4t^4$, where y(π)=3π4/2y(\pi) = 3\pi^4/2. What is y(t) when t=pi/2t=pi/2.
Plain-text mathematical notation (without MathML)
Derive the solution y = f(t) to the following IVP. $ty' - 2y = t^5sin(2t) - t^3 + 4t^4$, where y(π)=3π⁴/2. What is y(t) when t=pi/2.
Original LaTeX notation
Derive the solution y = f(t) to the following IVP. $ty' - 2y = t^5sin(2t) - t^3 + 4t^4$, where $y(\pi) = 3\pi^4/2$. What is y(t) when $t=pi/2$.

category

math

options

  1. 20.123
  2. 15.678
  3. 18.042
  4. 21.789
  5. 16.389
  6. 17.234
  7. 22.876
  8. 23.456
  9. 19.095
  10. 24.512

src

theoremQA-Math

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Source and history

upstream_id / Original problem ID
8510
task_id
e158437e-28ae-5ba9-bab4-ff5b4b0653c0
task_key
default--test--8510
task_revision_id
1
config / split
default / test

Official source

initial import