🔵16 - Bernoulli Differential Equations (dy/dx + p(x)y = q(x)y^n)

[@magbomajoshua1585]

x^2/(xy-x^2) kindly solve this homogeneous equation.

[@hesedcharis4966]

This is exhaustive. I never saw this in the lecture hall

[@SkanCityAcademy_SirJohn]

I see

[@ChanceKayuni]

Well understood

[@risingstars_el]

Amazing explanations

[@SkanCityAcademy_SirJohn]

Thanks so much Emmanuel

[@soitaKenyaspresident]

Thank you

[@SkanCityAcademy_SirJohn]

You are most welcome. Keep watching

[@Jonteh231]

Sir. How can you solve a question like these using your formulae. Y'-³/x Y= Y⁵

[@SkanCityAcademy_SirJohn]

Have you tried your hands on it already?

[@Mot_elevate_hub]

boss abeg the Q2 the part wey you substitute the expressions and n why say the 1/2 from the integration part dey affect the constant c too

[@SkanCityAcademy_SirJohn]

Can you please come again with your question, and kindly state the time in the video, for easy reference. Thank you

[@NyaabaRichard59]

​@@SkanCityAcademy_SirJohn at 16:50 I don't think the 1/2 should affect the constant too

[@iindongotaapopi1218]

The last part at the constant, there is a little confusion time of the video=27:25. The answer supposed to be y= ((sinx-cosx)/4 +ce^x )^2

[@SkanCityAcademy_SirJohn]

I get your point, 1/4 * e^x(c1) , you can express c2 as 1/4 * c1, so that you have e^x(c2). Because it's a constant, it does not really change anything, in short you can as well express it as how you did, it's also correct. Nice observation, thumbs up

[@iindongotaapopi1218]

Thanks for the clarification. You're the best 👑

[@SkanCityAcademy_SirJohn]

@@iindongotaapopi1218 what's your nationality?

[@iindongotaapopi1218]

@@SkanCityAcademy_SirJohn 👑

[@iindongotaapopi1218]

@@SkanCityAcademy_SirJohn Namibian

[@innocentcossa6227]

❤

[@SkanCityAcademy_SirJohn]

Thanks so much Cossa