Question 6 The solution to the following initial value problem Not yet answered dx dy + 2xy = exp(-x2) sin(2x) ; y(0)=1 Marked out of 1.00 Flag O a. y(x) = -e-x2 -cos(2x) + question 2 O b. y(x ) = e-t -cos(21) + 1.5) 2 O c. y(x ) = e-x2 cos(2x) - 1.5) 2 od. y(x) = ex -cos(2x) 2 + 1.5)Question 7 The general solution of the following differential equations Not yet answered dx 2 d'y + 12 04 + 36y = 0 Marked out of 1.00 Flag question O a. v(x) = (A + Bx)e-6x O b. v(x) = Ae-ox + Bxeox O C. v(x) = (A + B)xe-6x O d. v(x) = Aex + Bxe-6xQuestion 8 Not yet answered Marked out of 1 .00 \\'7 Flag question Solve the initial value problem j d1? m=mm=m=4 x(t)=exp(3t) + 4exp(2t) x(t)=4exp(3t) x(t)=2exp(3t) + 4exp(2t) x(t)=4exp(2t) Question 9 Not yet answered Marked out of 1 .00 \\'7 Flag question The solution to the following boundary value problem d2 d . 5' +773: +10y= 0; y(0) = 0,y(1) = 3 IS O a 3 (92: + 95:) eZe5 O b 3 (62! _ e-St) 2295 O C. 3 (82! _ eSt) 229'5 0 d. No solution Question 10 The general solution of the differential equation Not yet dy + x*+x2 answered dx Marked out of 1.00 Hint. Use the substitution v =y/x Flag question O a. y( x ) = x1 3 x3 + 2c Ob. y(x) = W/ N x3 + 2x + C O c. V(x) = x1/ w/ N x3 + 2x + 2c Od. v= x2 + 2x + 20