Question: Consider the differential equation dy/dx = 5 y. (a) Either by inspection or by the method suggested in Problems 33 36, find a constant

Consider the differential equation dy/dx = 5  y.

(a) Either by inspection or by the method suggested in Problems 33– 36, find a constant solution of the DE.

(b) Using only the differential equation, find intervals on the y-axis on which a non constant solution y = ϕ(x) is increasing. Find intervals on the y-axis on which y = ϕ(x) is decreasing.

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