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]

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# Differential Equations Help!

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