Write the given differential equation in the form L(y) = g(x), where L is a linear differential operator with constant coefficients. If possible, factor L. (Use D for the differential operator.) y" + 12y" + 36y' = ex + 12D² + + 36D .)y = ex X

Advanced Engineering Mathematics
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Chapter2: Second-order Linear Odes
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Write the given differential equation in the form L(y) = g(x), where L is a linear differential operator with constant coefficients. If possible, factor L. (Use D for the differential operator.)
y"" + 12y" + 36y' = ex
D³ + 12D² + 36D
x) x = ex
Transcribed Image Text:Write the given differential equation in the form L(y) = g(x), where L is a linear differential operator with constant coefficients. If possible, factor L. (Use D for the differential operator.) y"" + 12y" + 36y' = ex D³ + 12D² + 36D x) x = ex
Write the given differential equation in the form L(y) = g(x), where L is a linear differential operator with constant coefficients. If possible, factor L. (Use D for the differential operator.)
3y" 8y' 3y = 7
(3D²-8D-3x )y=7
Transcribed Image Text:Write the given differential equation in the form L(y) = g(x), where L is a linear differential operator with constant coefficients. If possible, factor L. (Use D for the differential operator.) 3y" 8y' 3y = 7 (3D²-8D-3x )y=7
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