1 Point Note Webwork Will Interpret Acos A As Cos A So In Order To Write A Times Cos X You Need To Type A Cos 1 (28.9 KiB) Viewed 21 times
1 Point Note Webwork Will Interpret Acos A As Cos A So In Order To Write A Times Cos X You Need To Type A Cos 2 (35.09 KiB) Viewed 21 times
(1 point) Note WebWork will interpret acos(a) as cos ¹(a), so in order to write a times cos(x) you need to type a * cos(x) or put a space between them. The general solution of the homogeneous differential equation can be written as where a, b are arbitrary constants and y" +4y=0 Ye a cos(2x) +bsin(2x) y= Up = e 3r is a particular solution of the nonhomogeneous equation y" + 4y = 13e 3r By superposition, the general solution of the equation y" + 4y = 13e 3z is y = ye+ Up So
NOTE: you must use a, b for the arbitrary constants. Find the solution satisfying the initial conditions y y(0) = 1, y'(0) = 2 The fundamental theorem for linear IVPS shows that this solution is the unique solution to the IVP on the interval The Wronskian W of the fundamental set of solutions cos(2x) and sin(2x) of the homogeneous equation is W =
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