Question 1 (3 points) Rewrite the following equation with the variables separated. y' t x + xy = yes+ exRewrite the following equation with the variables separated. x2y' = 2x sin(y) - y'Rewrite the following equation with the variables separated. y' tan(y) = sin(y) (2x+1)\fGiven the initial condition y(0) = 1, find the particular solution of the equation y 3x - 2yFind the equation of the curve that passes through the point (1, 3) and has a slope of x+1 at any point (x, y). (where y > 0 and x > -1)If the temperature of an oven O(t), decreases with a rate that is inversely proportional to the temperature of the oven, write the differential equation that describes the rate of change of the oven temperature, given time, t. Do not solve.If the number of fruit flies F increases at a rate that is proportional to the number of flies present, write the differential equation that describes the rate of change in the number of fruit flies at a given time, t. Do not solve