true-false quiz chapter 7
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the equation y'=x+y is separable
false
all solutions of the differential equation y'=-1-y^4 are decreasing functions
true
consider the differential equation y'=g(y) where g(y) is a differentiable function of y. it is not possible for y to exhibit oscillatory behavior.
true
if y is the solution of the initial-value dy/dt = 2y(1- y/5) y(0)=1 then lim y=5 as t goes to infinite
true
the equation y'= 3y-2x+6xy-1 is separable
true
the function f(x)= (lnx)/x is a solution of the differential equation x^2y'+xy=1
true
