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Given the Differential Equation y=3t2(y7)y ^ { \prime } = 3 t ^ { 2 } ( y - 7 )

question 32

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Given the differential equation: y=3t2(y7)y ^ { \prime } = 3 t ^ { 2 } ( y - 7 ) , is this the solution y=7+cet3?y = 7 + \mathrm { ce } ^ { t ^ { 3 } } ?

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