(adsbygoogle = window.adsbygoogle || []).push({}); Finding basic solutions to a PDE??

So the problem is:

x_o=0

[tex]\varphi''[/tex] + 4[tex]\varphi'[/tex] + [tex]\lambda[/tex][tex]\varphi[/tex]=0

which satisfies [tex]\varphi(0)[/tex]=3 and [tex]\varphi'(0)[/tex]=-1

I really dont even know where to start, I think its like an ODE right where we assume a solution, usually sin or an exponential and plug it in for each psi and its derivatives, find roots and plud back into a genral solution and use BC to find constants. In the text though, they give psi as a linear combo of psi 1 and psi 2 with some coefficients in front. The answer they give is an exponential multiplied by a sin term and a cos term for psi 1 and an exponential multiplied by a sin term.

thanks for any help all

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# Finding basic solutions to a PDE?

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