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Show that y = ae^-3x + b, where a and b are arbitrary constants, is a solution of the differential equation (d^2y/dx^2) + 3(dy/dx) = 0

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Show that y = ae-3x + b, where a and b are arbitrary constants, is a solution of the differential equation (d2y/dx2) + 3(dy/dx) = 0 

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y = ae-3x + b (a and b are arbitrary constants) ... (1) 

Differentiating with respect to x 

dy/dx = - 3ae-3x

Differentiating again with respect to x 

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