Question: Solve the initial value problem, y ' = x + 2 x y - 1 , y ( 1 ) = 1 , 1 x

Solve the initial value problem,
y'=x+2xy-1,y(1)=1,1x2
by using the third order Taylor series method for x=1(0.5)2.
Ans: 3.3326,16.7932
Solve the initial value problem, y ' = x + 2 x y

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