MATH 222 Quiz: MATH 222 UW Madison Quiz3 ans
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Problem 1 (20 points): find out the general solution of the following di erential equation and also the solution that satis es the initial condition: y + x cos2 y = 0, y(0) = Dividing cos2 y from both sides yields y = x cos2 y y cos2 y. By doing this , we are missing those solutions such that cos2 y = 0, which are y = all n is an integer. Plug in the intial condition x = 0 and y = . The speci c solution is that tan y = x. Problem 2 (20 points): find the solution that satis es the initial condition: y tan x + y = sin2 x, y( Solution: check my notes of problem number 2 on oct. 16. Bonus question (15 points): find out the general solution of the following di erential equation and also the solution that satis es the initial condition: y +
