(6) (a) Solve the initial value problem z²y + 2xy = 6r", y(1) = 0. (i) First, differentiate (r²y) with product rule. (ii) Second, match the outcome of the previous step with the equation. (iii) Apply Fundamental Theorem of Calculus to recover y(r), up to a constant. (iv) Match the initial condition given to find the unique solution. (b) Use direction field to verify the solution you got is correct. Show the direction field plot.

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