forked from Sasserisop/MATH201
fixed bernoulli and renamed heaviside link
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@ -17,8 +17,8 @@ $y^{-n}\frac{ dy }{ dx }=\frac{ du }{ dx }{\frac{1}{1-n}}$
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substituting in we get:
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$y^{-n}\frac{ dy }{ dx }+P(x)u=Q(x)=\frac{ du }{ dx }{\frac{1}{1-n}+P(x)u}$
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and we get a linear equation again: (Handy formula if you wanna solve specific Bernoulli equations quick.)
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$$\frac{1}{1-n}\frac{ du }{ dx }+P(x)=Q(x)\quad \Box$$
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and we get a linear equation again: (Handy formula if you wanna solve Bernoulli equations quick. Just remember that once you find $u(x)$, substitute it back for $y(x)^{1-n}=u(x)$ to get your solution for y.)
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$$\frac{1}{1-n}\frac{ du }{ dx }+P(x)u=Q(x)\quad \Box$$
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>Remember when I said that when n=1 the equation becomes a separable equation?:
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>$y^{-n}\frac{ dy }{ dx }+P(x)y^{1-n}=Q(x)$
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>let $n=1$
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