MHB Can Rationalizing the Denominator Solve a Stuck Homogeneous Equation?

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Rationalizing the denominator is suggested as a potential solution to overcome difficulties in integrating a complex expression within a homogeneous ordinary differential equation (ODE). The initial poster is seeking assistance after reaching a challenging point in their problem-solving process. The discussion emphasizes the importance of simplifying expressions to facilitate integration. Participants agree that rationalization can be an effective strategy in such cases. Overall, the conversation centers on techniques to resolve integration challenges in ODEs.
Joe20
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Hi, I have solved this ODE till half way and got stucked on the integration of some weird expression. Need help for this.
Thank you!
 

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Hi Alexis87,

Rationalizing the denominator should help.
 

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