- 7 Suppose That The Characteristic Equation Of A Homogeneous L D E Following Is Not A Solution Of The D E With Cons 1 (117.93 KiB) Viewed 28 times
7- Suppose that the characteristic equation of a homogeneous L.D.E. following is NOT a solution of the D.E. *' with constant coefficients is g'a-2)'( #)? = 0, then ONE of the b)e2 - -XCOSX d)x* - 3x?e24 ,a) 7 c)2 + xe2+ +xsinx 8- Which of the following is a solution to xy'+y = 3x = d) x a) r? b)x) c) e 9- If y'- p(x)y=9(x)y, then the general solution will be of the form y = a) eS(462)=P(x)} b) ellos talons to d) none tc + c)|(g(x) + p(x))dx + c 10- One of the following is a second order nonlinear D.E. a) y'+sin(x)y":= y2 b) y' + cos(x)y = y c) yy" + yy' = y2 d) none 11- The value of m that makes y=x" a solution to x’y+4xy = 0 is 4 a) b) -3 c) 4 3 12- The particular solution of (3x’y + sec? x)dx + (x +2y)dy = 0, y(0)=1, is y= 2 a) x'y-tan x - y = 1 b)xºy + tan x + y2 = 2 C)xºy +tan x + y = 4 d) none 13- If the integrating factor of (x + y)dx + f(x)dy = 0 is y=x, then f(x) = 1 2 +4 d) a) b) +8(1) a +8 + g(y) 14-The general solution of (e.* + y cos(xy))dx + x cos(xy)dy = 0 is a) sin(xy)+e* = C b) sin(xy)-e* = c c) cos(xy)+e" =c d) none 15-The general solution of (1+2y?)y'= ysinx is a) In y + y2 = cosx + c b) In y + y = -cosx+c c) In y + y = cosx+c d) none