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If \[ \frac{dy}{dx}=xy+x,\; x\in\mathbb{R} \] and \(y(0)=1\), then \(y(0.2)\) with step size \(h=0.1\) using Euler's method is

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In Euler's method, always update the values sequentially using \[ y_{n+1}=y_n+h\,f(x_n,y_n). \] Never substitute the exact value of the solution while computing the next approximation.

Updated On: Jul 23, 2026

\(1.01\)
\(1.1\)
\(1.02\)
\(1.2\)

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The Correct Option is C

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If \[ \frac{dy}{dx}=xy+x,\; x\in\mathbb{R} \] and \(y(0)=1\), then \(y(0.2)\) with step size \(h=0.1\) using Euler's method is

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The Correct Option is C

Solution and Explanation

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