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Title: Solving Linear Equations of First Order
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Series: Ordinary Differential Equations
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YouTube-Title: Ordinary Differential Equations 7 | Solving Linear Equations of First Order
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Bright video: https://youtu.be/axWeu1tAFB0
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Dark video: https://youtu.be/XGzLYiSgg_0
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Ad-free video: Watch Vimeo video
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Quiz: Test your knowledge
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Dark-PDF: Download PDF version of the dark video
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Print-PDF: Download printable PDF version
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Thumbnail (bright): Download PNG
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Thumbnail (dark): Download PNG
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Subtitle on GitHub: ode07_sub_eng.srt missing
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Timestamps (n/a)
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Subtitle in English (n/a)
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Quiz Content
Q1: Consider the ordinary differential equation $\dot{x} = t^2 x + 3$. What is the integrating factor according to the video?
A1: $ \exp(-\frac{1}{3} t^3) $
A2: $ \exp(\frac{1}{3} t^3) $
A3: $ \exp(t^2) $
A4: $ \exp(-t^2) $
Q2: Consider the ordinary differential equation $\dot{x} = \sin(t) x + e^{-\cos(t)}$. Which of the following ODEs is not equivalent to this?
A1: $\dot{x} e^{-\cos(t)} - \sin(t) x e^{-\cos(t)} = 1$
A2: $\dot{x} e^{\cos(t)} - \sin(t) x e^{\cos(t)} = 1$
A3: $\frac{d}{dt} \Big( x e^{\cos(t)} \Big) = 1$
A4: $\dot{x} - \sin(t) x = e^{-\cos(t)}$
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Last update: 2024-10
