\displaystyle\frac{dy}{dx}=2x+yand 
\[y(1)=k\].
Using Euler’s method, starting at 
\[x=1\] with a step-size of 
\[0.5\], gives the approximation 
\[y(1.5)\approx 4\].
Find 
\[k\].
\[k=\] no steps only answer

Learn how to approximate y(1.5) using Euler's method with a step-size of 0.5, starting from x=1 and the initial condition dy/dx = 2x + y, y(1) = k. The solution provides an approximation of y(1.5) = 4, allowing the determination of the initial condition k.

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