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DJJerome1976

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18 years, 107 days
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These are questions asked by DJJerome1976

Reducing a difference quotient to its lo...

DJJerome1976 540 Maple
radical rationalize
September 21 2018
2 1

How do I get Maple to reduce/simplify the following difference quotient to its lowest terms? Basically I need Maple to rationalize the numerator. Any suggestions on how to do this?

f := proc (x) options operator, arrow; sqrt(2*x+1) end proc

proc (x) options operator, arrow; sqrt(2*x+1) end proc

 (1)

expand((f(x+h)-f(x))/h)

(2*x+2*h+1)^(1/2)/h-(2*x+1)^(1/2)/h

 (2)

simplify((f(x+h)-f(x))/h)

((2*x+2*h+1)^(1/2)-(2*x+1)^(1/2))/h

 (3)

rationalize((f(x+h)-f(x))/h)

((2*x+2*h+1)^(1/2)-(2*x+1)^(1/2))/h

 (4)

``


 

Download rationalize.mw

How do I solve a system in two unknown v...

DJJerome1976 540 Maple 2016
solve vector
January 24 2017
3 5

I'm trying to solve the really simple system u+v = <-2,4> and u-v = <-3,6> for u and v using Maple. My attempt attached.


 

simplify(solve({u-v = `<,>`(-3, 6), u+v = `<,>`(-2, 4)}, {u, v}))

Error, invalid input: solve expects its 1st argument, eqs, to be of type {`and`, `not`, `or`, algebraic, relation(algebraic), ({list, set})({`and`, `not`, `or`, algebraic, relation(algebraic)})}, but received {u-v = (Vector(2, {(1) = -3, (2) = 6})), u+v = (Vector(2, {(1) = -2, (2) = 4}))}

  

``


 

Download solve_error.mw

Why do I get this error? How might I get the solution?

What is causing this error with InitialV...

DJJerome1976 540 Maple 2016
euler ivp
December 15 2016
2 1

I'm trying to approximate the solution of an IVP using Euler's method in the InitialValueProblem command and I keep getting this error (see attached worksheet). Can someone explain why? Thanks!
 

restart

with(Student[NumericalAnalysis]):

InitialValueProblem((D(y))(t) = t*y(t)+1/y(t), y(0) = 3, t = 2, method = euler, numsteps = 5, output = solution)

Error, (in dsolve/numeric) array output cannot be obtained for problems containing global variables

  

``


 

Download ivp_error.mw

Error in shadebetween...

DJJerome1976 540 Maple 2015
shadebetween
October 07 2015
6 10

Can anyone offer an explanation why the following error occurs, and how it can be avoided? Thanks!

 

plots:-shadebetween(2, 1/sqrt(-x^2+1), x = 0 .. (1/2)*sqrt(3))

Error, (in t) invalid input: nops expects 1 argument, but received 0

  

``

 

Download error.mw

Computing eigenvalues with assumptions...

DJJerome1976 540 Maple 18
assuming eigenvalues condition
December 07 2014
1 5

I am trying to simplify the eigenvalues of a 2x2 matrix [[a,b],[c,d]] subject to the condition a,b,c, and d are integers such that a+b = c+d. Why do the following commands not achieve this?

with(LinearAlgebra):

A:=Matrix[[a,b],[c,d]]):

Eigenvalues(A) assuming a::integer,b::integer,c::integer,d::integer,a+b=d+c

How might I achieve what I need?

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