[" 7.verify that the given function (implicit or explicit) is a solution of the corresponding differential "],[" equation: "y=ae^(x)+be^(x)+x^(2):x(d^(2)y)/(dx^(2))+2(dy)/(dx)-xy+x^(2)-2=0]

For each of the exercises given below, verify that the given function (implicit or explicit) is a solution of the corresponding differential equation. xy = ae^(x) + be^(-x) + x^(2) : x (d^(2)y)/(dx^(2)) + 2(dy)/(dx) - xy + x^(2) - 2 = 0

For each of the exercises given below, verify that the given function ( implicit or explicit ) is a solution of the corresponding differential equation. y=ae^(x)+be^(-x)+x^(2): x(d^(2)y)+2(dy)/(dx)-xy+x^(2)-2=0

For each of the exercises given below, verify that the given function (implicit or explicit) is a solution of the corresponding differential equation.(i) y=a e^x+b e^(-x)+x^2 : x(d^2y)/(dx^2)+2y(dy)/(dx)-x y+x^2-2=0

Verify that the given function (implicit or explicit) is a solution of the corresponding differential equation: xy = a e^x + b e^(-x) + x^2 : x((d^2y)/(dx^2)) + 2((dy)/(dx)) - xy + x^2 - 2 = 0

Verify that the given functions (explicit or implicit is a solution of the corresponding differential equation: y=e^(x)+1:y''-y'=0

For each of the exercises given below, verify that the given function (implicit or explicit) is a solution of the corresponding differential equation. (i) y=a e^x+b e^(-x)+x^2 : x(d^2y)/(dx^2)+2y(dy)/(dx)-x y+x^2-2=0 (ii) y=e^x(acosx+bsin

Verify that the given fuction (implicit or explicit) is a solution of the corresponding differential equation. xy = a e^x + be^-x + x^2 :x (d^2y)/(dx^2)+2dy/dx -x y + x^2 - 2 = 0