(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

Find the solution to the initial value problem

dy/dx - y = e^3x

y(0) = 3

2. Relevant equations

e^∫p(x)

3. The attempt at a solution

Do I treat p(x) = -1?

I(x) = e^∫-1 = e^-x

e^-x(dy/dx) - ye^-x = e^3x . e^-x

e^-x(dy/dx) - e^-x . y = e^2x

e^-x . y = ∫e^2x

y = (2e^2x + c)/(e^-x)

y = C+2e^3x?

**Physics Forums | Science Articles, Homework Help, Discussion**

Dismiss Notice

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Homework Help: Find the solution to the initial value problem

**Physics Forums | Science Articles, Homework Help, Discussion**