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Find the first four terms in the Taylor series expansion of the solution to a. y?(x)=y(x)?x,y(0)=2. b. y?(x)=2xy(x)?x3,y(0)=1. c....

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Advance Math

Find the first four terms in the Taylor series expansion of thesolution to

a. y?(x)=y(x)?x,y(0)=2.
b. y?(x)=2xy(x)?x3,y(0)=1.
c. (1+x)y?(x)=py(x),y(0)=1.
d. y?(x) = ?x2 + y2(x), y(0) = 1.
e. y??(x)?2xy?(x)+2y(x)=0,y(0)=1,y?(0)=0.

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