Find the general solution for the following homogeneous differential equation. 3 x dy / dx - 3 y...
Question:
Find the general solution for the following homogeneous differential equation.
{eq}\displaystyle 3 x \dfrac {dy}{dx} - 3 y = 4 x \sec \left (\dfrac y x\right ) {/eq}
Homogeneous Differential Equation:
A differential equation in which the degree of each function is the same is called a homogeneous differential equation. To find the solution to the homogenous differential equation substitutes the dependent variable in the form of a dependent variable.
Answer and Explanation: 1
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- The homogeneous differential equation is {eq}3x\dfrac{{dy}}{{dx}} - 3y = 4x\sec \left( {\dfrac{y}{x}} \right).{/eq}
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Chapter 1 / Lesson 14Learn and understand what a homogeneous mixture is. Study the properties of homogeneous mixtures, and see liquid, solid, and gaseous homogeneous mixture examples.