Question: i ) . Solve the IVP or ODE a ) . d y d x = y 2 - 1 x 2 - 1 y

i). Solve the IVP or ODE
a).dydx=y2-1x2-1
y(2)=2
b).xy'=y2+y
ii). A culture initially has P0 number of bacteria. At t=1h, the number of bacteria is measured to be (43)P0. If the rate of growth is proportional to the number of bacteria P(t) present at time t, determine the time for the number of bacteria to quadruple.
i). Solve the IVP or ODE a).dydx=y2-1x2-1 y(2)=2 b).xy'=y2+y ii). A

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