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MMLU-Pro / 8527 / Use euler's method to find the solution to the differential equation…

Problem

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

question

Use euler's method to find the solution to the differential equation ∂y∂x=3x+4y\frac{\partial y}{\partial x} = 3x + 4y at x=1x=1 with the initial condition y(0) = 0 and step size h=0.25h=0.25. What is y(1)?
Plain-text mathematical notation (without MathML)
Use euler's method to find the solution to the differential equation (∂y)/(∂x)=3x+4y at x=1 with the initial condition y(0) = 0 and step size h=0.25. What is y(1)?
Original LaTeX notation
Use euler's method to find the solution to the differential equation $\frac{\partial y}{\partial x} = 3x + 4y$ at $x=1$ with the initial condition y(0) = 0 and step size $h=0.25$. What is y(1)?

category

math

options

  1. 1.875
  2. 2.0
  3. 2.25
  4. 2.1875
  5. 1.9375
  6. 2.3125
  7. 2.125
  8. 1.75
  9. 2.0625
  10. 2.5

src

theoremQA-Math

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Source and history

upstream_id / Original problem ID
8527
task_id
0c298840-44a4-5034-85bc-e91e8e08523c
task_key
default--test--8527
task_revision_id
1
config / split
default / test

Official source

initial import