Elimination of Arbitrary Constant

Eliminate the Arbitrary Constants

Submitted by mburn on October 23, 2022 - 10:05am

Please do leave a solution so I can study it, thank you!

Obtain the differential equation by eliminating the arbitrary constants.
1. Cxsiny+x^(2)y=Cy
2. y=Ae^(-3x)-Be^(2x)+Cx^3
3. Ay=e^(Bx^2)

Submitted by Awing on September 17, 2019 - 10:00am

y=c1e^5x+c2x+c3

Submitted by EngineerInTheMaking on September 3, 2017 - 5:02pm

How to eliminate arbitrary constants
y=C1e^x+C2e^2x+C3e^3x

thank you :)

Submitted by wackadoodle on July 6, 2016 - 8:41pm

Im having a difficulty solving this problem y = Ae^axcos(bx)+Be^axsin(bx) where a and b are parameters. Can anyone show me how to solve this ?

Submitted by omrcsr on June 17, 2016 - 8:34pm

eliminate the arbitrary constant:

y=c₁e^x + c₂xe^x

y'=c₁e^x + c₂(xe^x+ e^x)
y''=c₁e^x + c₂(xe^x+ 2e^x)

by comparing eq.1 and eq,2 = eq,4
by comparing eq.2 and eq.3 = eq.5

by comparing eq.4 and eq.5 = y'' + 2y - 3y'

am i doing it right??