- #1

Painguy

- 120

- 0

## Homework Statement

Show that for any linear equation of the form

[itex]\frac{dy}{dx}[/itex]

**+ P(x)**

**y**

**=**

**0**

if y(x) is a soltuion, then for any constant C the function Cy(x) is also a solution

## Homework Equations

## The Attempt at a Solution

(dy/dx) + P(x)y=0

∫P(x)y=∫0

y=-C/P(x)

C(dy/dx) + CP(x)y=0

C((dy/dx) + P(x)y)=0

∫P(x)y=∫0

y=-C/P(x)

This all seems a little to simple. Is what I did correct?