Find a Differential Equation whose Solution is y = a*ln(bx)

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In this problem we are given a solution to a differential equation, y = aln(bx). We are then asked to find a differential equation that has this function as a solution.

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these videos have been uploaded at the perfect time. I'm taking my DE course and you make the solving process look easy and straightforward

Rahat

theres a simpler way to solve this, isolate each integrating constant then take a derivative to get rid of it. for example y=a(ln(b)+ln(x)). take the derivative of both sides to get y'=a/x, y'x=a, take another derivative to get y''x+y'=0, this always works and gives the only diffeq with that as the only solution

ronitshah

I love logarithms, especially challenging questions.
I ought to practise more logarithms.

pinklady

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