Is the following is linear equation? x\frac{dy}{dx}-4y=x^6e^x

Holly Guerrero

Holly Guerrero

Answered question

2022-01-20

Is the following is linear equation?
xdydx4y=x6ex

Answer & Explanation

Neil Dismukes

Neil Dismukes

Beginner2022-01-20Added 37 answers

First order linear differential equation: A differential equation of the form dxdy+P(x)y=Q(x) is called first order linear differential equation.
Here we have given,
xdydx4y=x6ex
dydx4xy=x5ex
Which is of the form dydx+P(x)y=Q(x),  where  P(x)=4x  and  Q(x)=x5ex
Hence, the given equation is a first order linear differential equation.
William Appel

William Appel

Beginner2022-01-21Added 44 answers

Linear and first order, here P=4x and Q=6ex

Do you have a similar question?

Recalculate according to your conditions!

New Questions in Differential Equations

Ask your question.
Get an expert answer.

Let our experts help you. Answer in as fast as 15 minutes.

Didn't find what you were looking for?