Is the following is linear equation? xdydx−4y=x6ex

Holly Guerrero

Holly Guerrero

Answered

2022-01-20

Is the following is linear equation?
xdydx4y=x6ex

Answer & Explanation

Neil Dismukes

Neil Dismukes

Expert

2022-01-20Added 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

Expert

2022-01-21Added 44 answers

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

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