Question: 1. (10 points) Consider the differential equation y ty' = 2x. The form of a particular solution of this equation is yo = -2r +

1. (10 points) Consider the differential equation y" ty' = 2x. The form of a particular solution of this equation is yo = -2r + r (a) Determine the general solution of y" ty = 2c. (b) Consider the initial value problem (IVP) y" ty' = 2x; (0) =0 and y'(0) = 1. (i) Without solving the IVP, determine the largest interval where there is a unique solution. (ii) Solve the IVP. Does your result agrees with your answer in (i)

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