Check that each of the following functions solves the corresponding differential equation, by computing both the left-hand...

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Check that each of the following functions solves thecorresponding differential equation, by computing both theleft-hand side and right-hand side of the differential equation

A) y=tan(x) solves dy/dx =y^2 / sin^2 (x)

B) y=x^2 +5x solves (x)dy/dx= y+x^2

C)y= 1/ C+x^2 solves dy/dx= -2xy^2

D) y= xln(x) solves (x) dy/dx = x+y

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