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Combine the Terms Y And yy ^ { \prime } Into the Derivative of a Product

Question 81

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Combine the terms y and yy ^ { \prime } into the derivative of a product: (3t+7)y+3y=4t( 3 t + 7 ) y ^ { \prime } + 3 y = 4 t .
Is this derivative correct: ddt[(3t+7)y]=4t\frac { d } { d t } [ ( 3 t + 7 ) y ] = 4 t ?

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