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MMLU-Pro / 8962 / Find γ so that the solution of the initial value problem …

Problem

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

question

Find γ\gamma so that the solution of the initial value problem $x^2 y^{\prime \prime}-2 y=0, y(1)=1, y^{\prime}(1)=\gamma$ is bounded as x→0x \rightarrow 0.
Plain-text mathematical notation (without MathML)
Find γ so that the solution of the initial value problem $x^2 y^{\prime \prime}-2 y=0, y(1)=1, y^{\prime}(1)=\gamma$ is bounded as x→0.
Original LaTeX notation
Find $\gamma$ so that the solution of the initial value problem $x^2 y^{\prime \prime}-2 y=0, y(1)=1, y^{\prime}(1)=\gamma$ is bounded as $x \rightarrow 0$.

category

math

options

  1. 6
  2. 5
  3. 1/2
  4. 1
  5. 0
  6. 3
  7. 2
  8. -2
  9. -1
  10. 4

src

scibench-diff

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Source and history

upstream_id / Original problem ID
8962
task_id
0ee5849c-ed0a-5ef5-be37-ff645b1df73c
task_key
default--test--8962
task_revision_id
1
config / split
default / test

Official source

initial import