Question

Verify that the given function is a solution to the given differential equation (c1 and c2 are arbitrary constants) and state the maximum interval over which the solution is valid.

For Problems 7-21, verify that the given function is a solu- tion to the given differential equation (cy and c2 are arbitrary constants), and state the maximum interval over which the solution is valid. ya Sx +42 25 WID#cigos x A Asin 2%, = 0 BAWK vel Hope 2y +10. 1 10. y(x) = y' = - y2 x +4

Answer 1

(10 SOLUTION → y = - y² Ју - y2 1+) dx X dy y? INTEGRATE Jx" "JX nu) -Jyldy - Jux - 2+1 -1 y - 2 X + C, - 2+1 모 = x+C y y (x+C) = 1 - y= X+C, INITIAL VALUES ARE NOT GIVEN we Can not say VALUE of C, 184 y(x) = X+C, NOT VALID