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Confirm that f and g are inverses by showing that f(g(x)) = x and g(f(x)) = x.

f(x) = the quantity x minus seven divided by the quantity x plus three. and g(x) = quantity negative three x minus seven divided by quantity x minus one.
Find the value of m so that the functiony=emx is a solution of the differential equation y′+2y=0
Which of the differential equation represent the time rate of change a population P(t) with constant birth and death rate is proportional to the size of the population
The order of differential equation d2y/dx2+2dy/dxd3y/dx3+x=0 is __________
One hundred grams of cane sugar in water are being converted into dextrose at a rate which is proportional to the amount unconverted. Find the differential equation expressing the rate of conversion after t minutes.
Sove the initial value problem dy/dx=12x3−2sinx,y(0)=3
The degree of differention equation (d3y/dx3)2+2d2y/dx2−dydx+x2(dy/dx)3=0 is _________
Suppose y=2e−4x is the solution to the initial value problem y′+ky=0,y(0)=y0. Find the value of y0
The general solution of equation d/ydx−y=2(1−x) is y=2x+Cex. Find the particular solution satisfied by x=0,y=0
determine the value of k in the differential equation
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