I am supposed to solve the following zy'' + (z-2)y' -3y = 0 and y=z^3 is a solution. I have a feeling I should use the Wronskian but I don't know how because my text book is horrible for explaining anything.
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Originally Posted by sarah232 I am supposed to solve the following zy'' + (z-2)y' -3y = 0 and y=z^3 is a solution. I have a feeling I should use the Wronskian but I don't know how because my text book is horrible for explaining anything. You can but an easy way is let . So and . Now substitute into your ODE and it becomes which becomes, after some simplification If you let then we obatin (separable). Integrate, put back in and integrate again to get u. Then .
Do you mind showing me the Wronskian method? I believe I will need to know this for my exam. Thanks!
Originally Posted by sarah232 Do you mind showing me the Wronskian method? I believe I will need to know this for my exam. Thanks! Here a post from this forum on that http://www.mathhelpforum.com/math-he...e-problem.html
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