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MMLU-Pro / 7778 / If y₁ and y₂ are a fundamental set of solutions of …

Problem

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

question

If y1y_1 and y2y_2 are a fundamental set of solutions of $t y^{\prime \prime}+2 y^{\prime}+t e^t y=0$ and if W(y1,y2)(1)=2W\left(y_1, y_2\right)(1)=2, find the value of W(y1,y2)(5)W\left(y_1, y_2\right)(5).
Plain-text mathematical notation (without MathML)
If y₁ and y₂ are a fundamental set of solutions of $t y^{\prime \prime}+2 y^{\prime}+t e^t y=0$ and if W(y₁,y₂)(1)=2, find the value of W(y₁,y₂)(5).
Original LaTeX notation
If $y_1$ and $y_2$ are a fundamental set of solutions of $t y^{\prime \prime}+2 y^{\prime}+t e^t y=0$ and if $W\left(y_1, y_2\right)(1)=2$, find the value of $W\left(y_1, y_2\right)(5)$.

category

math

options

  1. 5/2
  2. 2/5
  3. 1/5
  4. 1/25
  5. 1/10
  6. 25/2
  7. 10
  8. 5
  9. 2/25
  10. 0

src

scibench-diff

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Source and history

upstream_id / Original problem ID
7778
task_id
e8cdecf7-9d67-5c5a-8f19-60d5e6e79a19
task_key
default--test--7778
task_revision_id
1
config / split
default / test

Official source

initial import