In: Advanced Math
Solve the following initial value problems
y'' + y = 2/cos x , y(0) = y'(0) = 2
x^3 y''' − 6xy' + 12y = 20x^4, x > 0, y(1) = 8/3 , y'(1) = 50/3 , y''(1) = 14
x^2 y'' − 2xy' + 2y = x^2, x > 0, y(1) = 3, y'(1) = 5
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