Question

Solve du/dx + du/dy = (x+y)u using separation of variables

Answer 1

Answer:

Step-by-step explanation:

First Order

They are "First Order" when there is only  dydx , not  d2ydx2 or  d3ydx3 etc

Linear

A first order differential equation is linear when it can be made to look like this:

dydx + P(x)y = Q(x)

Where P(x) and Q(x) are functions of x.

To solve it there is a special method:

We invent two new functions of x, call them u and v, and say that y=uv.

We then solve to find u, and then find v, and tidy up and we are done!

And we also use the derivative of y=uv (see Derivative Rules (Product Rule) ):

dydx = u dvdx + v dudx

Answer 2

Answer:

hope it helps u ........