I Solved A Differential Equation For y

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[@thecrazzxz3383]

Certainely the most original title of them all

[@burlfromlondon]

It was slightly confusing using C as both the constant of integration and an intermediate variable, which could have been, say, T instead

[@MisterPenguin42]

2T or Not 2T. Every video!

[@SyberMath]

😄

[@robertcotton8481]

C+2 would just be c since c arbitrary

[@wtspman]

Could you get a simpler expression for y by simplifying the parts under the radical? I see (x+c+2)^2 - 4 and I think expanding the square term will allow you to get rid of the 4, but without solving it on paper, I’m not sure if it can be taken any further.

[@SyberMath]

I don't think but I didn't check, either 😜

[@bobbyheffley4955]

If k=-1 or 1, you have a perfect square.

[@vacuumcarexpo]

This is just the same as solving a cubic equation using Cardano's formula.

[@mcwulf25]

You didn't fancy differentiating the answer to demonstrate that it's correct in the original equation?

[@SyberMath]

I forgot about that 😲

[@rakenzarnsworld2]

f(y) = y^3-3y^2

[@SyberMath]

can we solve for y?

[@user-sx6vo6ne5f]

...pierdolnąłeś się - powinno być a^6 - ka^3 - 1 = 0