- #1
UrbanXrisis
- 1,196
- 1
y is a function of x if
[tex]y'''-6y''+8y'=9e^x[/tex]
[tex]y(0)=13, y'(0)=17, y''(0)=16[/tex]
solve for y(x)=
I first solved for [tex]y'''-6y''+8y'=0[/tex]
I got the general solution:
[tex]y=A0.5e^{2x}+B0.25e^{4x}+C[/tex]
I was just wondering if I should plug in the initial conditions now or should I solve the 9e^x and then solve for the initial conditions? Also, if I solved for 9e^x now, would the costant C just be zero?
[tex]y'''-6y''+8y'=9e^x[/tex]
[tex]y(0)=13, y'(0)=17, y''(0)=16[/tex]
solve for y(x)=
I first solved for [tex]y'''-6y''+8y'=0[/tex]
I got the general solution:
[tex]y=A0.5e^{2x}+B0.25e^{4x}+C[/tex]
I was just wondering if I should plug in the initial conditions now or should I solve the 9e^x and then solve for the initial conditions? Also, if I solved for 9e^x now, would the costant C just be zero?