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

Solution:
The characteristic r^-r+ has a double solution r. Hence the general solution is Phixc_e^x+c_xe^xe^xc_+xc_ with Phi'xe^xc_+x+c_. Phic_mustbe Phi'e^xc_+c_mustbe e^ Rightarrow c_. The particular solution is Phixxe^x.
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Exercise:
Solve the following initial value problem: y''-y'+y Phi Phi'e^

Solution:
The characteristic r^-r+ has a double solution r. Hence the general solution is Phixc_e^x+c_xe^xe^xc_+xc_ with Phi'xe^xc_+x+c_. Phic_mustbe Phi'e^xc_+c_mustbe e^ Rightarrow c_. The particular solution is Phixxe^x.
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deq
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(3, default)
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4 (default)
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ENG (English)
Type
Calculative / Quantity
Creator wdur
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