Defining Variables from System Solve Function

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Summary:

How can I extract a single solution from solving a system of equations, such that I could "automatically" define each variable?

Defining Variables from System Solve Function

ZacharyHendrix 06 Feb 2020 16:36

How could I extract a single solution from solving a system of equations, such that I could "automatically" define each variable instead of defining them in accordance with the initial output?
For a simple example, take the second ODE

(1)

\begin{align} y''+5y'+7y=0 ~ \wedge ~ y(0)=5 ~ \wedge ~ y'(0)=7 \end{align}

(2)

\begin{align} \implies y_c=c_1e^{4t}+c_2e^{8t} \end{align}

Once I solve the system yielded by the initial conditions for $c_1 \wedge c_2$, I can only get the output as conjunction.
Please see the images below on flickr
/photos/186829666@N04/49497274396/in/dateposted-public/
/photos/186829666@N04/49496869313/in/dateposted-public/

To no avail, I have tried indexing {[1]} the result and converting the expression into a list and then indexing {exp▶list(…,.)[1]}.

p.s. I'm aware of the deSolve() function, but this is a matter that is troubling beyond the domain of DEs…plus, it's bugging me.

Last edited on 06 Feb 2020 16:39 by ZacharyHendrix Show more