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MMLU-Pro / 8945 / Use the Runge-Kutta method with h=0.1 to find approximate values for the…

Problem

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

question

Use the Runge-Kutta method with h=0.1h=0.1 to find approximate values for the solution of the initial value problem $y' + 2y = x^3e^{-2x}$ with y(0)=1 at x=0.2x=0.2.
Plain-text mathematical notation (without MathML)
Use the Runge-Kutta method with h=0.1 to find approximate values for the solution of the initial value problem $y' + 2y = x^3e^{-2x}$ with y(0)=1 at x=0.2.
Original LaTeX notation
Use the Runge-Kutta method with $h=0.1$ to find approximate values for the solution of the initial value problem $y' + 2y = x^3e^{-2x}$ with y(0)=1 at $x=0.2$.

category

math

options

  1. 0.6423
  2. 0.5987
  3. 0.6534
  4. 0.7012
  5. 0.7891
  6. 0.6245
  7. 0.6705
  8. 0.7123
  9. 0.5809
  10. 0.5607

src

theoremQA-Math

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Source and history

upstream_id / Original problem ID
8945
task_id
24fd2dfa-e84a-543c-8c14-ae081fa35783
task_key
default--test--8945
task_revision_id
1
config / split
default / test

Official source

initial import