b) Using regular perturbation theory, find xo, x1, and r2 in the series expansion x(t, e) = xo(t) + €x1 (t) + x2(t) + O(²).

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A: It has no unique solution.

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A: Since you have uploaded multiple part questions according to our guidelines we have solved the first…

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Q: Dat

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A: Critical points are the points in a graph, at which the direction of graph changes.

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Q: Use substitution method

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A: To solve the below initial value problem. x2+y2−5dx=y+xydy,  y0=1

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A: We can solve this as follows:

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A: Let's find.

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