Goa University 2009-2nd Sem B.E Electrical and Electronics Engineering Maths for engineering - Question Paper

obtain length of curve
x:1-cost+1/sq root 10
y:3/sq root 10 * Sin t
from t:0 to t: pie by 2
obtain perimeter of cardiode r:a(1+cosQ)
obtain formula of oscillating plane and principal normal for curve x:3t+t*t, y:2t, z:2t-1. At point t:1
solve the differential equation:
y(xy+2x*x*y*y)dx + x(yx-x*x* y*y)dy:0
e(raise to)y(1+x*x)dy/dx - 2x(1+e(raise to)y):0
(x+2y+3)dx-(2x-y+1)dy:0
sin x dy/dx + 3y : cosx

solve the D.E
(D*D-4D-3) Y: e(raise to)x * Cos 2x
(D*D+5D+4)y: x*x+ 7x+9

Earning:   Approval pending.