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(Solved): Find the general solution of the differential equation x^(3)y^('')-3x^(2)y^(')+3xy=x-3x^(2)+x^(3) fo ...
Find the general solution of the differential equation x^(3)y^('')-3x^(2)y^(')+3xy=x-3x^(2)+x^(3) for x>0.
a. y(x)=c_(1)e^(x)+c_(2)e^(3x)+(1)/(3)+(1)/(2)lnx-x^(2)
b. y(x)=c_(1)e^(x)+c_(2)e^(3x)+(1)/(3)+(1)/(2)xlnx-x^(2)
c. y(x)=c_(1)x+c_(2)x^(3)+(1)/(3)+(1)/(2)xlnx-x^(2)
d. y(x)=c_(1)x+c_(2)x^(3)+(1)/(3)+(3)/(2)xlnx-x^(2)
e. y(x)=c_(1)e^(x)+c_(2)e^(3x)+(1)/(3)+(3)/(2)xlnx-x^(2)