- #1

s3a

- 818

- 8

## Homework Statement

Write the following second-order ODE as a system of two first-order ODEs.

##d^2y/dt^2 + 5(dy/dt)^2 - 6y + e^{sin(t)} = 0##

## Homework Equations

w = dy/dt

## The Attempt at a Solution

The solution of the book says ##dy/dt = w, dw/dt = -5w - 6y + e^{sin(t)}##, but shouldn't it be ##w = dy/dt, dw/dt = -5w^2 + 6y - e^{sin(t)}##, or am I missing something?