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Solve the Initial-Value Problem Using the Method of Undetermined Coefficients y′′+y′−2y=x+sin⁡x,y(0)=1920,y′(0)=0y ^ { \prime \prime } + y ^ { \prime } - 2 y = x + \sin x , y ( 0 ) = \frac { 19 } { 20 } , y ^ { \prime } ( 0 ) = 0

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Solve the initial-value problem using the method of undetermined coefficients. y′′+y′−2y=x+sin⁡x,y(0)=1920,y′(0)=0y ^ { \prime \prime } + y ^ { \prime } - 2 y = x + \sin x , y ( 0 ) = \frac { 19 } { 20 } , y ^ { \prime } ( 0 ) = 0

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