## 95 Reputation

10 years, 99 days

## Thanks & excellent!...

It‘s really the simplest way I've ever seen to solve this kind of equation!

## Solving for a and b....

Solving for a and b.

## ???...

I've never sent any email to you and been totally surprised by your reply.

“x” has been assigned in a not so obvious way that I hadn’t realized before.

## It looks like to be caused by the variab...

But there isn't any expression for x at all!

## It works!...

It works when replaced by Pi!

## Problem still remains!...

The problem still remains,

Code:

sin((1/10)*pi);

Yeah, the old version I refer to is Maple V.

You’re really so familiar with the Maple, and I deem you should be entitled with MVP!

But for sin（pi/4）, sin（pi/3）and so on, Maple will directly return radicals.

PS, I thought the code was very short, so I didn’t post it. Next time, I’ll post it, no matter how short it is.

## Can't be clearer!...

Let's hope these two bugs can be fixed in the next version of Maple--Maple 19.

Thanks so much for your Excellent Reply!

## @Markiyan Hirnyk  PS，I deem in math...

PS，I deem in mathematics, the neighborhood of the origin contains the origin itself.

## Keep Peace...

The original ODE doesn’t have any singularity at the origin, but has a branch at t=0 instead.

## “Good” form has the same error...

The “first form” here simply means the form of the ODE before your“not”, while the ”second form” means the one after it.

Even if we adopted your “good” form, we would still get the same error, just as below:

By the way, here is the plaintext of the code, you can copy and paste them to check it out by yourself :

solve({U(0) = 0, diff(U(t), t) = (2*(sqrt(U__0)-sqrt(U(t))))*sqrt(U(t))})

## There is no singularity...

With all due respect, I’m afraid any textbooks on calculus(no matter elementary, intermediate or advanced) would suggest that the first form you’ve mentioned is the correct equivalence to my ODE while the second is wrong, so there is no singularity at the neighborhood of the origin.

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