Question

The number of arbitrary constants in the general solution of Non-Homogeneous linear differential equation of order n are​

Answer 1

SOLUTION

TO DETERMINE

The number of arbitrary constants in the general solution of Non-Homogeneous linear differential equation of order n are

EVALUATION

A differential equation is an equation which involves differential coefficients or differentials

The order of a differential equation is the order of the highest derivative appearing in it.

The degree of a differential equation is the degree of the highest derivative occuring in it after the equation has been expressed in a form free from radicals and fractions as far as the derivatives are concerned

A solution of a differential equation is a relation between the variables which satisfies the given differential equation.

The general Solution of a differential equation is that in which the number of arbitrary constants is equal to the order of the differential equation.

Since the differential equation is of order n

So the number of arbitrary constants in the general solution = n

━━━━━━━━━━━━━━━━

Learn more from Brainly :-

$1.$ M+N(dy/dx)=0 where M and N are function of

(A) x only

(B) y only

(C) constant

(D) all of these

https://brainly.in/question/38173299

2. This type of equation is of the form dy/dx=f1(x,y)/f2(x,y)

(A) variable seprable

(B) homogeneous

(C) exact

(D) none ...

https://brainly.in/question/38173619