Verify that the indicated function y = y(x) is an explicit solution of the given first-order differential equation. (y -

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Verify That The Indicated Function Y Y X Is An Explicit Solution Of The Given First Order Differential Equation Y 1 (52.29 KiB) Viewed 118 times

Verify that the indicated function y = y(x) is an explicit solution of the given first-order differential equation. (y - x)y' = y - x + 2; y = x + 2x + 5 When y = x + 2x + 5, y' = Thus, in terms of x, (y – X)y' = y - x + 2 = Since the left and right hand sides of the differential equation are equal when x + 2x + 5 is substituted for y, y = x + 2x + 5 is a solution. Proceed as in Example 6, by considering o simply as a function and give its domain. (Enter your answer using interval notation.) Then by considering p as a solution of the differential equation, give at least one interval I of definition. O(-10,5) O(-5,5) 0 (-0,-5) O (-5,) O(-10, -5]