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 .

the sum of the lengths of any two sides of a triangle is greater than the length of the third side. if you take the three sides of a triangle and add them in pairs, the sum is greater than (not equal to) the third side. if that is not true, then it is not possible to construct a triangle with the given side lengths.

step-by-step explanation:

step-by-step explanation: