b*******n
发帖数: 5065 | 1 for example, let say y=y(x), y*(1+(dy/dx)^2)=constant.
how to find the solution? | m****n
发帖数: 45 | 2
this equation can be converted to dx=dy/sqrt(c/y-1)
integrate both sides
【在 b*******n 的大作中提到】
: for example, let say y=y(x), y*(1+(dy/dx)^2)=constant.
: how to find the solution?
| w******h
发帖数: 115 | 3 I guess this is easy in mathematica.
Solve[y[x] (1+(y'[x])^2)==c,x]
【在 b*******n 的大作中提到】
: for example, let say y=y(x), y*(1+(dy/dx)^2)=constant.
: how to find the solution?
| b*******n
发帖数: 5065 | 4 I know this.
the thing is how to parametrize x and y interm of another parameter?
Tried several times, probably algebraic mistakes,
couldn't get it.
I have the the answer from Professor.
will try it later when my brain works.
thx anyway.
【在 m****n 的大作中提到】
:
: this equation can be converted to dx=dy/sqrt(c/y-1)
: integrate both sides
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