# You may want to save the results of these exercises, sincewe’ll revisit in the next two sections. In Exer-cises 1-5 use Euler's method to find approximate values of the solution of the given initial value problemat the points x; = xo + ih, where xo is the point wher the initial condition is imposed and iThe purpose of these exercises is to familiarize you with the computational procedure of Euler's method.1, 2, 3. с у+ 3у %3Dх? — Зху + у?, у(0) %3D2;B h%3D0.053.

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Solution: y1 = 1.200000000; y2 =2.085625000; y3 = 3.079099746 help_outlineImage TranscriptioncloseYou may want to save the results of these exercises, sincewe’ll revisit in the next two sections. In Exer- cises 1-5 use Euler's method to find approximate values of the solution of the given initial value problem at the points x; = xo + ih, where xo is the point wher the initial condition is imposed and i The purpose of these exercises is to familiarize you with the computational procedure of Euler's method. 1, 2, 3. fullscreen help_outlineImage Transcriptioncloseс у+ 3у %3Dх? — Зху + у?, у(0) %3D2;B h%3D0.05 3. fullscreen
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Step 1

Here, initial condition is given at x = 2.Therefore, start with x0 = 2.

Given equation is:

Step 2

First approximation at x1 = 0.05 is given by y1 which is calculated as:

Step 3

Now,

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