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MMLU-Pro / 8960 / Consider the initial value problem

Problem

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

question

Consider the initial value problem $$ 3 u^{\prime \prime}-u^{\prime}+2 u=0, \quad u(0)=2, \quad u^{\prime}(0)=0 $$ For t>0t>0 find the first time at which |u(t)|=10|u(t)|=10.
Plain-text mathematical notation (without MathML)
Consider the initial value problem
$$
3 u^{\prime \prime}-u^{\prime}+2 u=0, \quad u(0)=2, \quad u^{\prime}(0)=0
$$
For t>0 find the first time at which |u(t)|=10.
Original LaTeX notation
Consider the initial value problem
$$
3 u^{\prime \prime}-u^{\prime}+2 u=0, \quad u(0)=2, \quad u^{\prime}(0)=0
$$
For $t>0$ find the first time at which $|u(t)|=10$.

category

math

options

  1. 14.1234
  2. 9.5678
  3. 10.7598
  4. 16.4321
  5. 15.6789
  6. 11.2345
  7. 12.3456
  8. 7.6543
  9. 13.5791
  10. 8.9876

src

scibench-diff

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Source and history

upstream_id / Original problem ID
8960
task_id
34a9879f-9a7b-545d-a61d-3a55f7ec6443
task_key
default--test--8960
task_revision_id
1
config / split
default / test

Official source

initial import