y is a function of x if(adsbygoogle = window.adsbygoogle || []).push({});

[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?

**Physics Forums | Science Articles, Homework Help, Discussion**

Dismiss Notice

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Homework Help: Differential equations

**Physics Forums | Science Articles, Homework Help, Discussion**