Show all necessary condition. Determine whether the given function is a solution to the differential equation and find the particular solution when initial-value condition is given. 1. у %3D хе-2х; 4у +4y' + у" %3 0 Inx; x²y" + xy' – y = lnx 3. y(x) = x³(c + Inx); xy' – 3y = x³, y(1) = 8 4. y(x) = tan(x³ + c);y' = 3x²(y² + 1), y(0) = 1 %3D %3D

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