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Suppose a student carrying a flu virus returns to an isolated college campus of 1000 students. Determine a differential equation for a number of people x(t) who have contracted the flu if the rate at which the disease spreads is proportional to the number of interactions between the number of students who have the flu and the number of students who have not yet been exposed to it.
2p+3q=1
Suppose a student carrying a flu virus returns to an isolated college campus of 1000 students. Determine a differential equation for a number of people x(t) who have contracted the flu if the rate at which the disease spreads is proportional to the number of interactions between the number of students who have the flu and the number of students who have not yet been exposed to it.
what function do you know from calculus is such that its first derivative is itself? Its first derivative is a constant multiple k of itself? Write each answer in the form of a first-order differential equation with a solution.
If 2xy3 +3ycos(xy)+(cx2y2 +3xcos(xy))y=0 is an exact equation, what isthe value of c?
State the Euler's method formula for yk +1 in terms of tk , yk and t when approximating the solution to the initial value problem
dy = f (t, y) y(t0 ) = y0 dt
Sketch a graph that demonstrates where this formula comes from
Find the general solution of the differential equation: dy = 2t y +(cost)et2
Verify that y(t) =(sint)et2 is a solution of dy =2t y+(cost)et2
Find the solution of the given differential equation and then find the particular solution for which a point (x,y) is given:
dy/dx = √x + 3; (x,y) = (-1,3)
