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Question

(Euler for systems) Solve $y_1^{\prime}=2 y_1-4 y_2, y_2^{\prime}=y_1-3 y_2, y_1(0)=3, y_2(0)=0$ by ($5$) ($10$ steps, $h=0.1$ ). Plot the solution in the $y_1 y_2$-plane.

Solution

VerifiedAnswered 6 months ago

Answered 6 months ago

Step 1

1 of 4To the given system

$\begin{align} y'_1 & =2y_1-4y_2 \\ y'_2 & =y_1-3y_2 \end{align}$

with initial condition $y_1(0)=3, y_2(0)=0$ and mesh size $h=0.1$. We have to use Euler's method for system to find $(y_1,y_2)_1,(y_1,y_2)_2,...,(y_1,y_2)_{10}$

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