Solve the IVP (3x-y) \frac{dy}{dx} = y+2x, y(1)=1. You should give an explicit solution whenever...
Question:
Solve the IVP
{eq}(3x-y) \frac{dy}{dx} = y+2x {/eq}, y(1)=1.
You should give an explicit solution whenever it is possible.
Homogenous Differential Equations:
A homogenous differential equation is an equation in the form of {eq}\frac{dy}{dx}=f\left(\frac{y}{x}\right) .{/eq} The advantages of having homogeneous differential equation is that it can always be reduced to a separable equation by means of a algebraic substitution and manipulation.
Answer and Explanation:
Become a Study.com member to unlock this answer! Create your account
View this answerThe given differential equation is a first order non linear differential equation. To keep things simpler, we'll use the notation {eq}y' {/eq} instead...
See full answer below.
Learn more about this topic:
from
Chapter 16 / Lesson 3Learn to define what a linear differential equation and a first-order linear equation are. Learn how to solve the linear differential equation. See examples.