#### JJBladester

Gold Member

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**1. The problem statement, all variables and given/known data**

I am in a differential equations course currently. The chapter I'm reading is "linear differerntial equations: basic theory". The words

**linear combination**and

**linear operator**are used.

**2. Relevant equations**

L{[tex]\alpha[/tex]f(x) + [tex]\beta[/tex]g(x)} = [tex]\alpha[/tex]L(f(x)) + [tex]\beta[/tex]L(g(x))

**3. The attempt at a solution**

I forgot what the quick and easy definition of "linear combination was. I seem to remember something about "closed under addition and scalar multiplication". Perhaps somebody could help me re-learn this concept. I took Calc III and Linear Algebra and passed with flying colors but time has eaten my brain.

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