- #1
Orion1
- 973
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Find an equation of the tangent line to the curve:
[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]
[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]