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summertan

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14 years, 155 days

MaplePrimes Activity


These are questions asked by summertan

I have the following nonlinear ODE symmetric in the functions A(r) < - > B(r):

 

eq:= diff(A(r),r)^2/A(r)^2 + diff(A(r),r)*diff(B(r),r)/A(r)/B(r) + diff(B(r),r)^2/B(r)=k;

 

The task is to solve for A(r) in terms of B(r) and it goes like this: solve the quadratic equation for A'/A in terms of B'/B (or vise versa cause equation is symmetric) and then integrate.

dsolve(eq, A(r));  produces the required solution for A(r) in terms of integral over B and B'.

dsolve(eq, B(r)); returns nothing.

I have the following nonlinear ODE symmetric in the functions A(r) < - > B(r):

eq:= diff(A(r),r)^2/A(r)^2 + diff(A(r),r)*diff(B(r),r)/A(r)/B(r) + diff(B(r),r)^2/B(r)=k;

The task is to solve for A(r) in terms of B(r) and it goes like this: solve the quadratic equation for A'/A in terms of B'/B (or vise versa cause equation is symmetric) and then integrate.

dsolve(eq, A(r));  produces the required solution for A(r) in terms of integral over B and B'.

How to make Maple simplify expression like

sqrt(  x^(2*a+2) )

to x^(a+1), where x is assumed positive?

The Maple's simplify works only if the constant 'a' is already assigned to a number, otherwise it refuses to simplify it, even if I tell it assume(x>0).

Hi, I have a pretty long symbolic expression and want to make Maple not output the function arguments in derivatives. I also want to make it print the derivatives of function of one variable as primes not D's.

For example lets take a function of one variable f()  with argument which is combination of two variables (x+y) and evaluate the partial derivative

diff(f(x+y), x);

I don't want Maple to print the argument of f() after the derivative and I want it to print the derivative of f with respect to its argument as prime not as D.

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