In JavaScript, you can approximate the value of y(0.5) for the given initial value problem dy/dt = t^2 + y^2, y(0) = 1 on the interval [0, 0.5] using numerical methods such as Euler's method. Here is an example implementation in JavaScript:
index.tsx358 chars22 lines
In Matlab, you can do the same using the following code:
main.m183 chars17 lines
These scripts will numerically approximate the value of y(0.5) using Euler's method on the specified interval. Remember to adjust the step size h
and the number of steps n
for better accuracy.
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