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If air resistance is proportional to the square of the instantaneous velocity, then the velocity v of a mass m dropped from a given height is determined from
Let v(0) = 0, k = 0.125, m = 5 slugs, and g = 32 ft/s2.
- (a) Use the RK4 method with h = 1 to approximate the velocity v(5).
- (b) Use a numerical solver to graph the solution of the IVP on the interval [0, 6].
- (c) Use separation of variables to solve the IVP and then find the actual value v(5).
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Chapter 9 Solutions
Bundle: A First Course in Differential Equations with Modeling Applications, Loose-leaf Version, 11th + WebAssign Printed Access Card for Zill's A ... Applications, 11th Edition, Single-Term
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