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MMLU-Pro / 8645 / Solve the initial value problem …

Problem

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

question

Solve the initial value problem $y^{\prime \prime}-y^{\prime}-2 y=0, y(0)=\alpha, y^{\prime}(0)=2$. Then find α\alpha so that the solution approaches zero as t→∞t \rightarrow \infty.
Plain-text mathematical notation (without MathML)
Solve the initial value problem $y^{\prime \prime}-y^{\prime}-2 y=0, y(0)=\alpha, y^{\prime}(0)=2$. Then find α so that the solution approaches zero as t→∞.
Original LaTeX notation
Solve the initial value problem $y^{\prime \prime}-y^{\prime}-2 y=0, y(0)=\alpha, y^{\prime}(0)=2$. Then find $\alpha$ so that the solution approaches zero as $t \rightarrow \infty$.

category

math

options

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

src

scibench-diff

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Source and history

upstream_id / Original problem ID
8645
task_id
4d90f503-01c4-5ec5-95c5-45baf19b5405
task_key
default--test--8645
task_revision_id
1
config / split
default / test

Official source

initial import