Solve The Following Bernoulli Equation: Y'+ Xy=Xy-1.Yo)=-2 (2) Solve The Following Bernoulli Equation: Y + Y = Y 2 , Y()=0. Y(1)=1 (4) (3) Solve The Following Bernoulli Equation: X=Y= -Y = Xy Solve The Following Bernoulli Equation: Y'=Y=Xy-2x Consider The IVP: Y+Y=-X?Y2, Y(T)=1.Then Y(2) = (5) . A C. D. E. O.W 27 8 27 8 (6) The Explicit

 

Exercises (1) Solve the following Bernoulli equation: y+xy=xy-1, y(0)=-2 (2) Solve the following Bernoulli equation: y+y=y-2, y(1)=0. (3) Solve the following Bernoulli equation: =xy y(I) = (4) Solve the following Bernoulli equation: y'-y-xye-2x (5) Consider the IVP: '+y=-,2, y(1) 1.then y(2)= a. 27 b. C. d. e. o.w 27 (6) The explicit solution to the IVP: y+y=y, y(0)= I 1 a. y=- b. y= 1 1+3e-2x c. y= 5-32x 1+3e2x d. y=1-2x (7) The solution of differential equation: y+y=y, y(1)=1. is a. y=b. y=- x c. y= 1 d. y= e. o.w x+2x x-2x- 12 (8) (9) The substitution = transforms the D.E. y+y equations: u=y to one of the following a. u+u=2 b. u+u=3 b. u+u=3 c. u'-u=-2 d. u'-=-1 e. None If the Bernoulli DE: y+y= f(x)y" is transformed to the linear equation v'+5v=5f(x), then a. n=-3 b. n=-4 c. n=-2 d. n=-5 e. None