5. Consider the differential equation: y ty = tan-t. (a) (4 points) Solve the homogenous version, y + y = 0. (b) (12 points) Use
5. Consider the differential equation: y" ty = tan-t. (a) (4 points) Solve the homogenous version, y" + y = 0. (b) (12 points) Use variation of parameters to find the general solution to: y" ty = tan't. (c) (4 points) Find the solution if y(0) = 0 and y' (0) = 4. On what interval is your solution valid
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