Sec.+6.1

Put ans. here in numerical order. 1. y = Ce^4x y^1= 4y y^1 = 4Ce^4x 4Ce^4x = 4(Ce^4x) 4Ce^4x = 4Ce^4x True! - worked&checked by Leah L

2. y= e^-x 3y'+4y=e^-x y'=-e^-x 3(-e^-x)+ 4(e^-x)=e^-x -3e^-x + 4e^-x+ e^-x TRUE!!!! -Sarah Slack Checked by Maggie McClurkin, correct!

5) Danielle Wesselink Correct! Checked by Amy Finkelstein

9) Emily Johnson Correct checked by kirbie 16) done by Kristin Peters Yeah I got the same thing! Checked by Rebekah Adair 20. Done by Alex Dubois, was supposed to check but nobody posted it 28. 2x^2 - y^2 = c yy' - 2x = 0 2 (3)^2 - (4)^2 = c 2(9) - 16 = c 2= c y= (2x^2 - 2) ^ (1/2) y' = d/dx [ (2x^2 - 2) ^1/2]= 1/2( 2x^2 -2) ^-1/2 * 4x y' = 4x/ [2 (2x^2 - 2)] (2x^2 - 2)^(1/2) * [2x/ (2x^2 - 2)^ 1/2] - 2x 2x - 2x = 0 0=0 done by brooke wiggins i concur! ~Katherine aitken