Question

difference between homogeneous and non homogeneous equation?

Answer 1

Answer:

Homogeneous differential equations involve only derivatives of y and terms involving y, and they’re set to 0, as in this equation:

$\frac{d^4y}{dx^4}+x\frac{d^2y}{dx^2}+y^2=0$

Nonhomogeneous differential equations are the same as homogeneous differential equations, except they can have terms involving only x (and constants) on the right side, as in this equation:

$\frac{d^4y}{dx^4}+\frac{d^2y}{dx^2}=y^2=6x+3$

You also can write nonhomogeneous differential equations in this format: $y"+p(x)y'+q(x)y=g(x)$. The general solution of this nonhomogeneous differential equation is:

$y=c_1y_1(x)+c_2y_2(x)+y_p(x)$

In this solution, $c_1y_1(x) + c_2y_2(x)$ is the general solution of the corresponding homogeneous differential equation:

$y"+p(x)y'+q(x)y=0$

And $y_p(x)$ is a specific solution to the nonhomogeneous equation.

Answer 2

Hey brainly user

Here is your answer

Heterogeneous mixture :

If the physical states of reactants and products are different in a equilibrium is called heterogeneous equilibrium

Homogeneous equilibrium :

If the physical states of reactants and products are same in a equilibrium is called homogeneous equilibrium