- 8 Which Of The Following Is A Solution To Xy Y 3x C E Y 3d A X B X D X 9 If Y P X Y 9 X Y Then The Genera 1 (94.54 KiB) Viewed 37 times
8- Which of the following is a solution to xy+y = 3x® c) e* y=3D a) x? b) x? d) x 9- If y'- P(x)y=9(x)y, then the general solution will be of the form («(*)=P(+))dx b) ef(p(x)+9(r)et c)(a(x) + p(x)]dx+c d) none 10- One of the following is a second order nonlinear D.E. » a) el +c + c + b) y' + cos(x)y = y a) y'+sin(x)y"= y2 c) yy" + yy' = y? d) none 11- The value of m that makes y=x" a solution to x’y'+4xy = 0 is a) b) -3 c) 4 d) 2 12- The particular solution of (3x’y+sec? x)dr+(x+2y)dy = 0, y(0)=1, is y = 3 + a) .xy-tan x - y =1 b)x®y + tan x + y2 = 2 Cxºy+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) = r? X с a) •+c c)+ + + d) 2 2 +8(y) х x 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) ln y + y = cosx+c d) none