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MMLU-Pro / 7881 / Find the value of y₀ for which 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 the value of y0y_0 for which the solution of the initial value problem $$ y^{\prime}-y=1+3 \sin t, \quad y(0)=y_0 $$ remains finite as t→∞t \rightarrow \infty
Plain-text mathematical notation (without MathML)
Find the value of y₀ for which the solution of the initial value problem
$$
y^{\prime}-y=1+3 \sin t, \quad y(0)=y_0
$$
remains finite as t→∞
Original LaTeX notation
Find the value of $y_0$ for which the solution of the initial value problem
$$
y^{\prime}-y=1+3 \sin t, \quad y(0)=y_0
$$
remains finite as $t \rightarrow \infty$

category

math

options

  1. -3.5
  2. 1.5
  3. -1
  4. -1.5
  5. 0
  6. -2.5
  7. 0.5
  8. -4.5
  9. 2.5
  10. 3.5

src

scibench-diff

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Source and history

upstream_id / Original problem ID
7881
task_id
64990eab-e886-52e5-9ed2-f6eddee3b4dd
task_key
default--test--7881
task_revision_id
1
config / split
default / test

Official source

initial import