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The 2nd Order Nonlinear ODE y''+(y')^3y=0

Grad Squared

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The 2nd Order Nonlinear ODE y''+(y')^3y=0

1 484 просмотра · 4 года назад
Grad Squared
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1 484 просмотра · 4 года назад
How to solve the 2nd order nonlinear ODE y''+(y’)^3y=0. First we transform it into a first order ODE by applying the chain rule. We will find two different solution groups. The latter one turns into a second first order ODE which results in an implicit form for y. ------------------------------------------------------------ 🔴 Subscribe for more content: https://www.youtube.com/c/GradSquared... 🐦 Follow me on Twitter:   / grad_squared   ------------------------------------------------------------ 🎬 More videos about solving ODEs:    • ODEs   🎬 Most recent videos: https://www.youtube.com/channel/UCIht... ------------------------------------------------------------ #gradsquared #ODE #differentialequation #nonlinear