🔵02 - Order and Degree of a Differential Equation : Exercise

[@KessylineMbwika-qo6pj]

Thanks very much,, understood

[@SkanCityAcademy_SirJohn]

You are most welcome

[@aiahhenrymondeh5434]

Bro, you are good with stuff. well appreciated.

[@SkanCityAcademy_SirJohn]

Thanks so so much

[@rhea8844]

very nice video!

[@SkanCityAcademy_SirJohn]

Thanks so much

[@DavidNaanbeTangbar]

thanks sir

[@SkanCityAcademy_SirJohn]

You are most welcome. Please where do you watch me from?

[@rebinosmanj9762]

y'''+sin(d4y/dx4)=0 how to find order please

[@SkanCityAcademy_SirJohn]

Highest derivative has order 4

[@rebinosmanj9762]

@@SkanCityAcademy_SirJohn thank you mr❤️❤️❤️❤️😍😍😍😍😍

[@petergathoga1446]

also deg of no 4

[@SkanCityAcademy_SirJohn]

Answer from q1 explains 4 and 5

[@petergathoga1446]

explain no 5

[@SkanCityAcademy_SirJohn]

5 has derivative of the independent variable(x). So it has a degree.

[@gertrudeanaman]

Can you explain the number 5 into futher details for me

[@SkanCityAcademy_SirJohn]

Order: the highest order derivative in the DE is the 2nd order, hence 2 Degree: the power on the highest ordered derivative is one

[@petergathoga1446]

explain the deg of number one in detail

[@SkanCityAcademy_SirJohn]

The degree is the power to which the highest derivative is raised to if the DE. Is a polynomial in it's derivative. That is ay' + by'' + cy''' and so on. But the moment you have a trigonometric, transcendental or logarithmic term of (any of the derivative of the dependent variable y) in the DE. Then the degree is undefined. Eg y' + cos (y'') has undefined degree, but y' + y'' has a degree of 1.

[@kishanmishra5203]

😊

[@SkanCityAcademy_SirJohn]

awwwn

[@SubodhaPeiris-z2q]

you are so wrong. to determine the order of a differential equation the equation should be in polynomial form as far as derivatives are concerned . otherwise order is not define. you 1st equation is trigonometric not polynomial then order is not define. same in 4th one.

[@SkanCityAcademy_SirJohn]

Thanks for your contribution, but that is incorrect, order does not depend on whether the DE is a polynomial in its derivative or not, but rather the degree. Kindly take note. Thank you.

[@revivesauerwein5717]

​@@SkanCityAcademy_SirJohnThank you sir, you are right. And the person who commented is perhaps confused

[@janiwoii7725]

I dont understand why number 5 has degree

[@SkanCityAcademy_SirJohn]

according to the rule, whenever we have the trig, exponential or logarithmic functions of the dependent variable in this case y, then the de has no order, but in this case we have the trig functions of the independent variable, x.

[@janiwoii7725]

Thanks brother​@@SkanCityAcademy_SirJohn

[@SkanCityAcademy_SirJohn]

@janiwoii7725 you are most welcome. Keep watching for more