Consider the following first-order ODE: = (1+2a) Vy, = [0, 1], y (z = 0) = 1 da Using step size of h 0.05, determine y(x) at the given domain x using: %3D (a) Euler's method (b) Heun's method (c) classical RK4 procedure

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A: See this solution in below.

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A: In the Frobenius method we will start by assume a solution of the form  y=xk∑n=0∞anxn

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A: consider the following first order ODE dydx=1+2xy with x=0,1 and yx=0=1 claim- use step size h=0.05…

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