postillan4
2020-11-09
Answered

Solve for the general solution of the given special second-ordered differential equation

$x{y}^{\u2033}+x({y}^{\prime}{)}^{2}-{y}^{\prime}=0$

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(a)

(b)

(c)

(d)

(e) Cannot be determined.

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asked 2021-11-21

I am having trouble figuring out a method for finding a solution to

$r+\left(\frac{2}{r}\right){\left({r}^{\prime}\right)}^{2}-r{}^{\u2033}=0$

I have tried substitution of$w={r}^{\prime}$ to obtain

$r+\left(\frac{2}{r}\right){w}^{2}=\frac{dw}{dr}w$

But then I am not sure how to proceed from there.

Any suggestions are welcome. Tha

I have tried substitution of

But then I am not sure how to proceed from there.

Any suggestions are welcome. Tha

asked 2022-05-18