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WebQuestion: I need help in this Numerical ODE system problem pleaseConsider the 2 × 2 linear ODE system:dx =−199x−198y dtdy =99x+98y dtThe initial conditions are given by x (0) = 1 and y (0) = 1. Use 4-digit rounding for all your calculations. (a) Through change of variables, decouple the system into two independent ODEs. (b) Apply Euler’s method WebQuestion: dx dy Find at * = 4 if y = 4x² + 5 and dt dt = 1. dac dt dy Let xy = 2 and = 4. dt dx Find when 3 4. dt The radius of a circle is increasing at a rate of 4 meters per minute. When the radius is 8 meters, then how fast is the AREA changing? The rate of change of the AREA is square meters per minute. (Enter your answer as a decimal number rounded to 2
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