(a) Find the general solution of the differential equation y (t) + 25y(t) = 0. general...

 

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(a) Find the general solution of the differential equation y" (t) + 25y(t) = 0. general solution = (Use the letters A and B for any constants you have in your solution.) (b) For each of the following initial conditions, find a particular solution. ) y(0) = 0, y' (0) = 1: y = (i) y(0) = 1, y' (0) = 0: y = (i) y(0) = 1. y(1) = 0: y = (iv) y(0) = 0, y(1) = 1: y = (On a sheet of paper, sketch a graph of the solutions you found in part (b) to see how they differ.) (a) Find the general solution of the differential equation y" (t) + 25y(t) = 0. general solution = (Use the letters A and B for any constants you have in your solution.) (b) For each of the following initial conditions, find a particular solution. ) y(0) = 0, y' (0) = 1: y = (i) y(0) = 1, y' (0) = 0: y = (i) y(0) = 1. y(1) = 0: y = (iv) y(0) = 0, y(1) = 1: y = (On a sheet of paper, sketch a graph of the solutions you found in part (b) to see how they differ.)

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Consider the differential equation y 25y 0 Auxiliary equation associated with the above e... View the full answer