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Mathematics
Differential Equations
Solving a differential equation using Laplace transform
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[QUOTE="PainterGuy, post: 6202350, member: 311618"] Thank you for your help! Is it okay to assume that Laplace transform cannot be used with nonlinear differential equations? The answer given here, [URL]https://www.quora.com/Can-you-determine-the-Laplace-Transform-of-a-non-linear-differential-equation[/URL] , agrees to some extent. I'm not sure if I'm following you correctly. [ATTACH type="full" alt="246135"]246135[/ATTACH] The equation reduces to [ATTACH type="full" alt="246136"]246136[/ATTACH] The new equation is still nonlinear and I can't see a way to apply Laplace transform to it. I understand that what I wrote above is wrong because "dx" should be represented in term of "dy"; something like this du²/dy. I don't know how to proceed with it. Could you please guide me? Thank you! [/QUOTE]
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Solving a differential equation using Laplace transform
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