Question: Verify that the indicated function is a solution of the given differential equation.(a)y''+3y'-2=0,y=2e-3x+23x+1(b)x2y''+xy'+(x2-14)y=0,y=x-12cosx(c)y''+y'-6y=0,y=5e2x+4e-3xasnwer with detailed workings please. thank you

Verify that the indicated function is a solution of the given differential equation.(a)y''+3y'-2=0,y=2e-3x+23x+1(b)x2y''+xy'+(x2-14)y=0,y=x-12cosx(c)y''+y'-6y=0,y=5e2x+4e-3xasnwer with detailed workings please. thank you

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