Find the general solution of the given differential equation. x dy dx − y = x2 sin(x) y(x) = correct: your answer is correct. give the largest interval over which the general solution is defined. (think about the implications of any singular points. enter your answer using interval notation.)

Divide both sides by - note that this means we can't have :

Then the left side reduces to the derivative of a product,

This solution is continuous everywhere, but accounting for the singular point , the largest interval over which it is defined would be or .

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step-by-step explanation: