/sci/ - Science & Math

[Anonymous No.7031669]

Trying to find the general solution for this diff eq:

∂y/∂ x + 3y = 0

Is this a solution:

y=a(e^-3)

[Anonymous No.7031676]

Use Yooler's Theorem

[Anonymous No.7031680]

>>7031669
<span class="math">y' + 3y = 0[/spoiler], the Ansatz is <span class="math">y(x) = ce^{\lambda x}[/spoiler]. Insert it and you get <span class="math">c\lambda e^{\lambda x} + 3ce^{\lambda x} = 0[/spoiler] and then <span class="math">\lambda + 3 = 0[/spoiler] with the only solution <span class="math">\lambda = -3[/spoiler]. That means the solution of the differential equation is <span class="math">y(x) = ce^{-3x}[/spoiler] with the constant to be determined by initial conditions and whatnot.

So, yes.

[Anonymous No.7031681]

>>7031680
thanks

[Anonymous No.7031682]

>>7031676
Just saw that movie tonight and that part really jiggled my jimbos

[Anonymous No.7032060]

>>7031669
Use the wolfram alpha theorem.