D q.1 (mcq) consider the differential equation (r +y+ 1])dr + (2r + 2y + 1]dy =0 which of the follwoing is true? 1. the differential equation is linear 2. the d

d Q.1 (MCQ) Consider the differential equation (r +y+ 1])dr + (2r + 2y + 1]dy =0 which of the follwoing is true? 1. The differential equation is linear 2. The differential equation is exact 3. et is an integrating factor of the differential equation 4. a suitable substitution transformns the differential equation to the variable sep- arable form. Q.2 (MCQ) Ifu =r" and v = y transform the differential equation 3r'ds - y(v-z)dy = 0 to du 2(u-v) then a equals 1. 4 2. 2 44 9.3 (NAT) 3. If+ zyf = cis the solution of the exact diferential equation M(r,y)da +2rydy = 0 then M(1,1) equals Q.4 (NAT) Let flz, u) = 0 be the solution of the following differential equation (27+5y)dr - (r + 3y)dy =0 If f(r +a, y-3) is the solution of the differential equation (2x +5y- 1)dz + (2 - r - 3y)dy =0 then a Cquais