Solving a Separable Differential Equation, Another Example #1

Separable Differential Equations | Solving Step-by-Step
In this video, we tackle the problem of solving a separable differential equation: dy/dx = x/y^2
We walk through the process of rearranging the equation to separate the variables and then integrate to find the general solution. Separable differential equations are a fundamental concept in calculus, and this lesson provides clear steps to help you solve these types of problems with confidence.

What You Will Learn:
How to recognize and solve a separable differential equation.
Techniques for separating variables in the equation.
Integrating both sides to find the general solution.
Great for anyone studying differential equations or looking to improve their problem-solving skills in calculus!

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Keywords: separable differential equations, solving differential equations, calculus differential equations, separation of variables, integrating differential equations, PatrickJMT, calculus tutorial, differential equations examples, math problem solving

You said:

[lawrencesibusiso]

WRTITING FINAL IN A COUPLE OF A LIFE SAVER!!!!

[TonySoprano]

Thankyou Patrick, I hope your genetic pool prospers. You're awesome

[rimatabrah]

Thank you, Surviving my third year math in engineering because of this 👍

[CodyShell]

i was a big dummy and i drank coffee after 9 pm and now im up at 2:30 and i have a test in 7 hours in differential equations
nothing to do. wide awake. might as well hop on patrickjmt.

[saii]

Thanks for posting a video about this Separable problems, I had watched all of your videos relating to Separable. It helps a lot. I have a test later :D Thank you

[LillianNotayi]

Dude, I'm surviving first year Eng Maths because of you! You're a BEAST!

[RDK-]

In certain problems inital conditions are given for x any. So you would plug them in and solve for c

[THEPOLCO]

I like your videos before I even begin watching

[ZainKhan-xxnp]

Thanks a lot. One question Where did you solved the other two examples?

[icefontanatambayan]

Thank you ! Tomorrow is THE exam day so I really need this :D

[donkeydunn]

also so people know, in some texts C (the unknown in integration) will sometimes be transformed in any number of ways and still be called C

[pooldead]

do you have any completing the square and factoring?

[josesollano]

Y’all need to like his videos more.. 1m subscribers and less than 1k likes? Smh...

[kifahmalikie]

Thanks but those are easy examples
I want difficult one 😭