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Plot the Euler’s Method approximate solution on [0,1] for the differential equation y* = 1 + y^2...

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Advance Math

Plot the Euler’s Method approximate solution on [0,1] for thedifferential equation
y* = 1 + y^2 and initial condition (a) y0 = 0 (b) y0 = 1, alongwith the exact solution (see
Exercise 7). Use step sizes h = 0.1 and 0.05. The exact solution isy = tan(t + c)

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Matlab code for solving ode using Euler Improved Euler andRK4clear allclose allfunction for which Solution have to dofunty 1y2initial guesstinit0 yinit0Answering Question for initial condition y00syms yteqn diffyt 1y2cond y0 yinitySolt dsolveeqnconddisplaying resultfprintfExact solution ytdispySolAnswering QuestionAll step sizehh01    See Answer
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