3 I conceived the following second order nonlinear ordinary differential equation: $$\frac {d^2y (x)} {dx^2}=\frac {k} { (y (x))^2}$$ I can tell it's nonlinear because of the $\frac {k} { (y (x))^2}$ term …

Apr 30, 2020 · Why are the Partial Differential Equations so named? i.e, elliptical, hyperbolic, and parabolic. I do know the condition at which a general second order partial differential equation …

Jun 18, 2021 · transition to population models or mechanical second-order equations with 2 or 3 components, the final insight that all methods for scalar first-order equations (except Kutta's …

Dec 24, 2018 · How to prove the existence and uniqueness of the solution of a second order linear ODE? Ask Question Asked 7 years ago Modified 7 years ago

Dec 2, 2018 · The general solution of the initial differential equation, will then be the general solution of the homogenous plus the particular solution you found. You can find more …

Aug 31, 2019 · 0 I think the "separable" concept does not apply to second order equations. I think you'd have a hard time getting a correct solution of $$ {d^2y\over dx^2}=y$$ by separation of …

Aug 4, 2020 · How can I perform the integration of second-order T ($\int \partial^2T=0$), so that I can arrive at equation 5.85, where T is a variable of $\xi$ and $\eta$? Here is what I get: $$ …

Apr 2, 2015 · For a second-order homogeneous differential equation, you need two inputs, which are $y$ and $y^ {\prime}$. This means that you need two of the same differential equations, …

as a system of 1st order ODEs and verify there exists a global solution by invoking the global existence and uniqueness theorems. I'm not sure how to express second order ODEs as first …

1 I have attempted to explore Newton's second law (F = ma) further into its many differential forms. I am not very familiar with differential equations and was searching for the steps and …