Separable Differential Equations (Initial-Value Problem Examples)

[@curtpiazza1688]

Excellent examples! 😊

[@oofaloofa]

Thanks for the clear explanations

[@HoustonMathPrep]

Absolutely! Glad you found it clear.

[@akashbhatti5141]

Thank you sir very helpful lecture

[@usamabinmuzaffar692]

Do you guys have any videos on partial differentials? They added "Heat equation" and "Fourier series" to our syllabus the last second and since this playlist and channel is my go to for learning stuff that my instructor was never able to teach, I was wondering...

[@HoustonMathPrep]

Hi, Usama. Those two topics are planned for the future, but it's going to be a while, I'm afraid. Our production schedule is already booked for the next few months. Sorry!

[@usamabinmuzaffar692]

@@HoustonMathPrep No worries.

[@farhantahmid9028]

In example 2, if we solved for the constant beforehand, how would we know to not accept the negative version of the solution?

[@HoustonMathPrep]

Hi Farhan, Solving the constant earlier would still give you c=16. That doesn't affect our choice for the plus/minus. What makes us choose the positive version for the function is the initial condition itself. If we have y(0)=4, that means our y value is positive 4. Later on you would still have to choose the positive root function for the graph to go through the point (0,4). If our condition was y(0)=-4, then we would choose the negative root function, since we would then need the graph to go through (0,-4).

[@farhantahmid9028]

@@HoustonMathPrep Thank you very much for responding so fast