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Problem 3. Consider the following ODE dạy dy + x2 dx2 dx cos(x)y = y - 2xy With initial conditions: y(0) = 3 and y= y'(0
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Problem 3. Consider the following ODE dạy dy + x2 dx2 dx cos(x)y = y - 2xy With initial conditions: y(0) = 3 and y= y'(0
Problem 3. Consider the following ODE dạy dy + x2 dx2 dx cos(x)y = y - 2xy With initial conditions: y(0) = 3 and y= y'(0) = 1 a) (35 points) Convert this ODE to a set of first order ODES. b) (35 points) Solve these equations using the RK method in your calculator with a step size h=0.1. (x is in radians). Integrate the equations from x=0 to x=1.0 and report the following numbers: y(1.0) = y'(1.0) = = y''(1.0) = =
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