Find an equation of the tangent line to the curve:(adsbygoogle = window.adsbygoogle || []).push({});

[tex]xe^y + ye^x = 1[/tex]

at the point:

[tex]P(0,1)[/tex]

Find the values for [tex]\lambda[/tex] for which:

[tex]y = e^{\lambda x}[/tex]

satisfies the equation:

[tex]y + y' = y''[/tex]

I have been assigned these two problems, which are not covered for another 3 chapters.

I am uncertain how to solve problem 1.

This is my first attempt at problem 2, uncertain if this is correct.

[tex]e^{\lambda x} + e^{\lambda x} \lambda = e^{\lambda x} \lambda^2[/tex]

**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!

# Differential Equations Help!

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