In this lesson, we will learn how to use Euler’s method to approximate solutions to differential equations.
Students will be able to
Q1:
Consider the initial value problem 𝑦=𝑦+1, 𝑦(0)=0.
Use Euler’s method with 𝑛=5 steps on the interval [0,1] to find 𝑦(1).
Q2:
Consider the initial value problem 𝑦=𝑒, 𝑦(0)=−2.
Use Euler’s method with 𝑛=5 steps on the interval [0,1] to find 𝑦(1). Round your answer to 5 decimal places.
Q3:
Consider the initial value problem 𝑦=3𝑥, 𝑦(0)=1.
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