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Class 9 Homework-

Three solutions of a certain second-order non-homogeneous linear differential equations are

y1(x)=1+xex2,y2(x)=(1+x)ex21,y3(x)=1+ex2

Which of the following is (are) general solution(s) of the differential equation?

(a) (c1 + 1)y)1+ ((c1c2)y2c3y3, where C1 and C2 are arbitrary constants.

(b) C1(y1y2)+C2(y2y3), where C1 and C2 are arbitrary constants.

(c) C1(y1y2)+C2(y2y3)+C3(y3y1), where C1,C2andC3  are arbitrary constants.

(d) C1(y1y2)+C2(y3y2)+y1, where C1andC2are arbitrary constants




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