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Find the Particular Solution of the Differential Equation 4xyty=x32x that 4 x y ^ { t } - y = x ^ { 3 } - 2 x \text { that }

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Find the particular solution of the differential equation 4xyty=x32x that 4 x y ^ { t } - y = x ^ { 3 } - 2 x \text { that } satisfies the boundary condition y(223) =0y \left( \sqrt { \frac { 22 } { 3 } } \right) = 0 .

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