Solution of differential equation

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To solve the differential equation d^3y/dx^3 + d^2y/dx^2 - dy/dx = 0, one approach is to let z = dy/dx, transforming it into a second-order linear differential equation. This method allows for the application of standard techniques for linear differential equations with constant coefficients. Consulting a textbook for the specific methods applicable to such equations is recommended. The discussion emphasizes the importance of rewriting the equation to facilitate easier solutions. Understanding these transformations is crucial for effectively solving higher-order differential equations.
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How do we/ can we find the solution of a differential eq d^3y/dx^3 + d^2y/dx^2 - dy/dx =0?
 
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Let z=dy/dx and rewrite the EDO as a classical second order linear EDO.
 
Or: think of it as a linear DE with constant coefficients, and consult the method for that in your textbook.
 

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