GATE 2023 PI – Question 27

Engineering Mathematics · Numerical Methods · 1 mark · Numerical answer

Use Euler’s method for $dy/dx=x^3y-4$, y(0) = 1, with step 0.1. Find y(0.1) to two decimals.

Show answer and explanation

Correct answer: 0.50 to 0.70

Explanation

Euler’s update is $y_1=y_0+h f(x_0,y_0)$. At (0,1), f = −4. Thus $y_1=1+0.1(-4)=\mathbf{0.60}$.

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