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In Problems 13–32 use variation of parameters to solve the given nonhomogeneous system.
32.
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- Hw.137.arrow_forward7. A scientist places two strains of bacteria, X and Y, in a petri dish. Initially, there are 400 of X and 500 of Y. The two bacteria compete for food and space but do not feed on each other. If x = x(t) and y = y(t) are the numbers of strains at time t days, the growth rates of the two populations are given by the system x' = 1.2x – 0.2y, y' = -0.2x + 1.5y Determine what happens to these two populations by solving the system of differential equations.arrow_forward1.3. Study the existence and uniqueness of the solution of the initial value problem (2y — 4)y' — (3x² − 4x − 4)(y² – 4y – 4) = 0, y(2) =-.arrow_forward
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