Solving d³y/dx³ + d²y/dx² - dy/dx = 0

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2rashmi1993
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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.