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https://texercises.com/exercise/second-order-deq-1/
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Exercise:
Solve the following initial value problem: y''-y'+y Phi Phi'

Solution:
The characteristic r^-r+ has solutions pmtexti. Hence the general solution is Phixe^xc_sin x+c_cos x with Phi'xe^xc_sin x+c_cos x+e^xc_cos x-c_sin x. Phic_mustbe Phi'c_+c_mustbe Rightarrow c_!-. The particular solution is Phixe^xcos x -sin x.
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Exercise:
Solve the following initial value problem: y''-y'+y Phi Phi'

Solution:
The characteristic r^-r+ has solutions pmtexti. Hence the general solution is Phixe^xc_sin x+c_cos x with Phi'xe^xc_sin x+c_cos x+e^xc_cos x-c_sin x. Phic_mustbe Phi'c_+c_mustbe Rightarrow c_!-. The particular solution is Phixe^xcos x -sin x.
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deq
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(3, default)
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ENG (English)
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Calculative / Quantity
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