let ϕ0(t) = 0 and use the method of successive approximations to approximate the solution of the given initial value problem. a.Calculate ϕ1(t), …, ϕ4(t), or (if necessary) Taylor approximations to these iterates. Keep terms up to order six. b. Plot the functions you found in part a and observe whether they appear to be converging.  y′=(3t2+4t+2)/2(y−1),y(0)=0

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Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.