## 175 Reputation

15 years, 16 days

## one plot using two other plots...

Hi

I have a differential equation. I can solve it using dsolve and plot it with odeplot. For example I obtain P(x).

I also have another equation. For example V in terms of x. So, I can plot it with plot(V).

Now I want to plot V in terms of P. How can I do that?

## How can I solve a complex integral? ...

Maple

Dear Guys

I want to solve this integral by maple:

p := sqrt(ln(t)*(ln(t))^(-2))*t^(-1)*(1-(ln(t))^(2)/(t^2))^(-1/4);

I used these expressions, but they don't work:

int(p, t);

int(simplify(p),t);

int(simplify(p, symbolic), t);

Thanks

## hypergeometric solution?...

Dear guys

I have an integral. I want to solve it by maple, but I can't. I think it's result is a hypergeometric function. Could you please guide me?

Int((2*(1-f)*t^(-f)/(3*A*f*(1-a/(A*f*t^(f-1)))))^(1/2));

I want to solve this for "t".

Thanks

## analytical solution...

Maple

Dear guys. I want to solve this equation analytically:

diff(Q(t),t)^2 = ln(t)^(b) + b*ln(t)^(b-1)

I think it is impossible. So I assumed that diff(Q(t),t)^2 = diff(P(t),t) and now I can solve it for P(t) easily. I obtained:

P(t) = t*ln(t)^(b)

Now, I want to know that there is anyway to obtain Q(t) using the latter relation and  diff(Q(t),t)^2 = diff(P(t),t) ?

Also I have a function as V(P)=P^(-2). What can I say about the behaviour of V(Q)?

Thanks a lot.

## plot relating two functions...

Maple

Dear guys

I have a function as P(t)=t*ln(t)^(-b) and I know that V(P)=P^(-2). I want to plot Vwith respect to for example Q.

All the things I know about Q is it is a function of t as well and diff(P(t),t) = diff(Q(t),t)^2.

How can I plot V with respec to Q?

Thanks a lot.

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