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Approximation Using Euler’s Method Calculator
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Approximate Value
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at x =
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What is Euler’s Method?
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Euler’s method is a first-order numerical procedure for solving ordinary differential equations (ODEs) with a given initial value. It provides an approximation of the solution at discrete steps.
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Formula: \( y_{n+1} = y_n + h \\cdot f(x_n, y_n) \)
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Where:
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- \( y_{n+1} \) is the approximate value at the next step
- \( y_n \) is the value at the current step
- \( h \) is the step size
- \( f(x_n, y_n) \) is the value of the derivative at the current point
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Step-by-Step Calculation
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| n | xₙ | yₙ | f(xₙ, yₙ) | yₙ₊₁ |
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