Recent content by ktklam9
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K
Series solutions for differential equation
Ah ok, so the problem is screwed up from the beginning, thanks :)- ktklam9
- Post #3
- Forum: Calculus and Beyond Homework Help
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K
Series solutions for differential equation
Homework Statement Use the power series to solve the following differential equations, state the first four terms of the two independent solutions. 3xy'' + y' - y = 0 Homework Equations The power series. The Attempt at a Solution How do I get two independent solutions out of this? All...- ktklam9
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- Differential Differential equation Series
- Replies: 3
- Forum: Calculus and Beyond Homework Help
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K
Undergrad How can I solve this without using integrating factor?
Let the Wronskian between the functions f and g to be 3e^{4t}, if f(t) = e^{2t}, then what is g(t)? So the Wronskian setup is pretty easy W(t) = fg' - f'g = 3e^{4t} f = e^{2t} f' = 2e^{2t} So plugging it in I would get: e^{2t}g' - 2e^{2t}g = 3e^{4t} Which results in g' - 2g...- ktklam9
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- Replies: 1
- Forum: Differential Equations