Welcome to our community

Be a part of something great, join today!

Which of the following statements is true?

Sam Fuller

New member
Apr 21, 2020
1
) Which one of the following statements is true?
1.1) If y^'=3y. Then y=e^2x .
1.2) If Then y=ce^kx for some constants c≠1 and k≠1.
1.3) If y^'=2y. Then y=2e^2x is .
1.4) If Then y=ce^x for some constant c .
 

topsquark

Well-known member
MHB Math Helper
Aug 30, 2012
1,121
) Which one of the following statements is true?
1.1) If y^'=3y. Then y=e^2x .
1.2) If Then y=ce^kx for some constants c≠1 and k≠1.
1.3) If y^'=2y. Then y=2e^2x is .
1.4) If Then y=ce^x for some constant c .
1.1 Well, if \(\displaystyle y = e^{2x}\) then what is y'? Now check to see if y' = 3y.
1.2 Is missing information. There is no question asked here.
1.3 Again, given y, what is y' ?
1.4. Is missing information again.

Please make an attempt to solve these and please get back to us if you get stuck.

-Dan