Find the general solution of the differential equation: (1 + cos(x))y' - (sin(x))y= 2x 2x Step zero, the standard form of the equation is: y' + + (-₁ sin(x) 1+ cos(x), 2 (2)) v = 1 + cos(x) First real step, determine the integrating factor Integrating factor = Second, multiply both sides by the integrating factor. Third, rewrite the equation in the form [f(x, y)]' = g(x) f(x, y) = g(x) = Lastly, integrate to determine the general solution to the equation, using c for your constant of integration: y =

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