Solving a Third Order Differential Equation with Initial Conditions

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SUMMARY

The discussion focuses on solving the third-order differential equation y'''=3*y*y' with initial conditions y(0)=-2, y'(0)=0, and y''(0)=4. The user has identified the correct solution but seeks guidance on the methodology to achieve it. A suggestion was made to move the thread to the Homework and Coursework Questions page for more targeted assistance. The equation can be approached using the technique of separating variables and integrating.

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  • Understanding of differential equations, specifically third-order equations.
  • Familiarity with initial value problems and boundary conditions.
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  • Experience with mathematical notation and manipulation of derivatives.
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Mathematics students, educators, and anyone involved in solving complex differential equations, particularly those dealing with initial conditions.

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I'm interested in solving this 3rd order DE y'''=3*y*y' with conds y(0)=-2, y'(0)=0, y''(0)=4,5. Thanks for any ideas.. I've the right solution, but the problem is how to achieve it.
 
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[tex]\frac{3}{2}\frac{d}{dt}(y^2)=3y\dot{y}[/tex]
 

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