11/19/2023 0 Comments Chain rule calculus multivariable![]() How are differential equations classified?ĭifferential equations can be classified by their order, which is determined by the highest order derivative in the equation, and by whether they are linear or non-linear. The derivative of y with respect to x is found by applying the chain rule, and in order for y to be a solution, its derivative must equal two.ĭifferential equations involve finding a function that satisfies an equation involving derivatives, rather than simply finding the derivative of a function. ![]() The video discusses the behavior of solutions to differential equations and demonstrates that a specific function is a solution regardless of the value of a constant.Linear differential equations have coefficients that do not depend on y and can be manipulated to be written in the format dy/dx, while non-linear differential equations have coefficients that do depend on y and may involve the multiplication of the second derivative.The video explains the behavior of solutions to differential equations and shows that a specific function is a solution regardless of the value of a constant, with the derivative of y with respect to x found using the chain rule and y needing to have a derivative equal to two to be a solution. Linear differential equations have fixed coefficients and can be written in the format dy/dx, while non-linear differential equations have coefficients that depend on y and may involve the multiplication of the second derivative.
0 Comments
Leave a Reply. |
AuthorWrite something about yourself. No need to be fancy, just an overview. ArchivesCategories |