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MMLU-Pro / 7774 / 15. Consider the initial value problem

Problem

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

question

15. Consider the initial value problem $$ 4 y^{\prime \prime}+12 y^{\prime}+9 y=0, \quad y(0)=1, \quad y^{\prime}(0)=-4 . $$ Determine where the solution has the value zero.
Plain-text mathematical notation (without MathML)
15. Consider the initial value problem
$$
4 y^{\prime \prime}+12 y^{\prime}+9 y=0, \quad y(0)=1, \quad y^{\prime}(0)=-4 .
$$
Determine where the solution has the value zero.
Original LaTeX notation
15. Consider the initial value problem
$$
4 y^{\prime \prime}+12 y^{\prime}+9 y=0, \quad y(0)=1, \quad y^{\prime}(0)=-4 .
$$
Determine where the solution has the value zero.

category

math

options

  1. 0.8
  2. 0.3
  3. 0.1
  4. 0.5
  5. 0.4
  6. 1.0
  7. 0.7
  8. 0.9
  9. 0.2
  10. 0.6

src

scibench-diff

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Source and history

upstream_id / Original problem ID
7774
task_id
c7f2b15c-f390-567e-94eb-3723fbfd5b14
task_key
default--test--7774
task_revision_id
1
config / split
default / test

Official source

initial import