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Help with Differential equation
Oh my god. This is incredibly simple. I over complicated it I guess. So I have C=\dfrac{3\pi a^2}{2} 2\pi ax- \dfrac{\pi x^2}{2}=-kx+\dfrac{3 \pi a^2}{2} x=0 when t=T kT=\dfrac{3 \pi a^2}{2} k=\dfrac{3 \pi a^2}{2T} Got it.- Hey there
- Post #6
- Forum: Calculus and Beyond Homework Help
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Help with Differential equation
I simplified it wrong then. I'll have another look.- Hey there
- Post #5
- Forum: Calculus and Beyond Homework Help
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Help with Differential equation
I got C=2a^2(\pi-\frac{1}{4}) So 2 \pi ax-\frac{\pi x^2}{2}=-kt+2a^2(\pi -\frac{1}{4}) when x=0 t=T kT=2a^2(\pi-\frac{1}{4}) k=\dfrac{2a^2(\pi-\frac{1}{4})}{T} k=\dfrac{2a^2 \pi-\frac{1}{2}a^2}{T} k=\dfrac{4a^2 \pi-a^2}{2T} k=\dfrac{a^2(4 \pi -1)}{2T} This doesn't equal k=\dfrac{3\pi...- Hey there
- Post #3
- Forum: Calculus and Beyond Homework Help
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High School Gravity & Magnetism: Does it Affect Electrical Charges & Coils?
My physics sucks but does gravity affect electical charges inside devices... Does it affect magnetism in coils... I thought it has an affect on anything regardless of how small it is.. right?- Hey there
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- Gravity Magnetism
- Replies: 1
- Forum: Electromagnetism
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Help with Differential equation
A hemispherical bowl of radius a has its axis vertical and is full of water. At time t=0 water starts running out of a small hole in the bottom of the bowl so that the depth of water in the bowl at t is x. The rate at which the volume of water is decreasing is proportional to x. Given that the...- Hey there
- Thread
- Differential Differential equation
- Replies: 6
- Forum: Calculus and Beyond Homework Help