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Section 7.2

# Section 7.2 - y = y 3 x 3 I I I II III IV 4[SCalcCC2 7.2.22...

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Section 7.2 (Homework) 1. [SCalcCC2 7.2.02.] 3/3 points Last Response | Show Details All Responses Notes A direction field for the differential equation y ' = x sin y is shown. (a) Sketch the graphs of the solutions that satisfy the given initial conditions. (Do this on paper. Your teacher may ask you to turn in this work.) (i) y (0) = 1 (ii) y (0) = 2 (iii) y (0) = (iv) y (0) = 4 (v) y (0) = 5 (b) Find all the equilibrium solutions using n as a generic integer. y = pin n*pi 2. [SCalcCC2 7.2.04.] 0.5/0.5 points Last Response | Show Details All Responses Notes Match the differential equation with its direction field (labeled I - IV). y ' = y - x II II I II III IV

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3. [SCalcCC2 7.2.06.] 0.5/0.5 points Last Response | Show Details All Responses Notes Match the differential equation with its direction field (labeled I - IV).
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Unformatted text preview: y ' = y 3- x 3 I I I II III IV 4. [SCalcCC2 7.2.22.] 3/3 points Last Response | Show Details All Responses Notes Use Euler's method with step size 0.2 to estimate y (1), where y ( x ) is the solution of the initial-value problem below. Give your answer correct to 4 decimal places. y ' = 1 - xy y (0) = 0 y (1) = .7824 0.7824 5. [SCalcCC2 7.2.24.] 4/4 points Last Response | Show Details All Responses Notes (a) Use Euler's method with step size 0.2 to estimate y (1.4), where y ( x ) is the solution of the initial-value problem below. Give your answer correct to 4 decimal places. y ' = x- xy y (1) = 0 y (1.4) = .3920 0.3920 (b) Repeat part (a) with step size 0.1. Give your answer correct to 4 decimal places. y (1.4) = .3868 0.3868...
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