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Use Euler's method with step size to compute the approximate values of y and y' of the solution of the initial-value problem?

User Onlywei
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Final answer:

Euler's method is used to approximate the values of y and y' in a differential equation by dividing the interval into small steps and using tangent lines to estimate the values at each step.

Step-by-step explanation:

Euler's method is used to approximate the values of y and y' in a differential equation. The method involves dividing the interval into small steps and using a tangent line to estimate the values at each step. To use Euler's method, follow these steps:

  1. Define the initial value problem, which includes the differential equation and the initial conditions.
  2. Choose a step size.
  3. Start with the initial conditions and use the tangent line to estimate the values of y and y' at each step.
  4. Repeat the process for the desired number of steps.
  5. Record the estimated values of y and y' at each step.

User Ali ZahediGol
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