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(Differential Equations) Consider the differential equation xy’-x4y3+y=0 Verify that the function y = (Cx2-x4)-1/2 is a solution of...

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Advance Math

(Differential Equations) Consider the differential equationxy’-x4y3+y=0

  1. Verify that the function y =(Cx2-x4)-1/2 is a solution of thedifferential equation where C is an arbitrary constant.

  1. Find the value of C such that y(-1) = 1. State the solution ofthe initial value problem.

  1. State the interval of existence.

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