Week 1 - 2nd order ODEs

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Last updated 2:27 PM on 2/24/26
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4 Terms

1
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What is the integration factor for a linear ODE?

v\left(x\right)=e^{\int P\left(x\right)\differentialD x}

2
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What is the substitution for a 2nd order ODE with missing y? Missing dependent variable

Let u = y’

3
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What is the substitution for a 2nd order ODE with missing x? Missing independent variable

Let u = y’ and \frac{d^2y}{\differentialD x^2}=u\frac{du}{dy}

4
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x

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