Question: Find the particular solution for following 2nd order differential equations. 26? marks(a)y''-y'+0.25y=0, with condition y(0)=0;y'(0)=2(b)y''+3y=0, with condition y(0)=y(1)=(c)x2y''+xy'+9y=0, with condition y(1)=0;y'(1)=2.5(d)y''+4y=-12sin(2x), with condition y(0)=1.; y'(0)=5(e)y''+6y'+9y=e-xcos(2x),

Find the particular solution for following 2nd order differential equations. 26? marks(a)y''-y'+0.25y=0, with condition y(0)=0;y'(0)=2(b)y''+3y=0, with condition y(0)=y(1)=(c)x2y''+xy'+9y=0, with condition y(1)=0;y'(1)=2.5(d)y''+4y=-12sin(2x), with condition y(0)=1.; y'(0)=5(e)y''+6y'+9y=e-xcos(2x), with condition y(0)=1;y'(0)=5(f)x2y''-xy'-3y=x2, with condition y(0)=0;y(1)=3

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