Question: Solve the initial value problem y'=43x23y2-12y,y(0)=2 and determine the interval in which the solution is valid.Hint: To find the interval of definition, look for points

Solve the initial value problem y'=43x23y2-12y,y(0)=2 and determine the interval in which the solution is valid.Hint: To find the interval of definition, look for points where the integral curve has a vertical tangent.NOTE: Write the solution in implicit form, with y only appearing at the left-hand side and x and constants only appearing at the right-hand side of the equation.]The solution is valid on the interval (,

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