Find an approximate value for y(2) using Euler's Method with a step size of Δt=0.2:

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Question

Find an approximate value for y(2) using Euler's Method with a step size of Δt=0.2:

Consider the following initial value problem:

$\frac{d y}{d t} = 1.5 t - 0.1 y^{2}, y (1) = 5$

Euler's Method is a method to approximate the solution to a differential equation by using using an equation of a line

$y (t_{0} + Δ t) \approx y_{0} + m Δ t$

Approximate $y (1.2)$ using the slope and value when $t = 1$ .
$y (1.2) \approx$
Approximate $y (1.4)$ using the previous approximation.
$y (1.4) \approx$

How do I solve this?

Differential-Equations

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Find an approximate value for y(2) using Euler's Method with a step size of Δt=0.2:

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