How Do You Solve a Linear First-Order Differential Equation?

[cobrab]

1. Homework Statement

y'(xk1-k2)+y(xk3-K4)=K5

Where k1-k5 are constant.

Homework Equations

The Attempt at a Solution

I have no idea what to do...

 

[HallsofIvy]

Does xk1 mean k1 times x?

What course is this for? I can think of a number of ways to do this (it is what is called a "linear first order differential equation with variable coefficients") but which would be appropriate for you depends upon what techniques you know.

 

[cobrab]

Hi,

xk1 means k1 times x.

I guess i need the easiest techniques.

 

[Kummer]

Write it in the form,
$$y'+p(x)y=q(x)$$
And use the integrating factor method.