## Question

###### A) Find the general solution: y ^(7) + 2y^ (5) +y(^3)=0(b) Determine a suitable form for a particular solution Y (t) ifthe method of undetermined coefficients is to be usedy^(7)+2y^(5)+y^(3)=4t^2+cost+2te^tNote: Don't evaluate the constant coefficient in Y(t) in partb

a) Find the general solution: y ^(7) + 2y^ (5) + y(^3)=0 (b) Determine a suitable form for a particular solution Y (t) if the method of undetermined coefficients is to be used y^(7)+2y^(5)+y^(3)=4t^2+cost+2te^t Note: Don't evaluate the constant coefficient in Y(t) in part b

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