Question: GENERAL SOLUTION FOR= v''(t)+v'(t)+v=0,

deq:=diff(y(x),x,x)=x^2+x+1;

dsolve(deq,y(x));

y(x) = 1/12*x^4+1/6*x^3+1/2*x^2+_C1*x+_C2

you have to "tell" maple "y(x)" is the unknow function..

why double post?

?dsolve

and

?DEplot

.......and x<=fsolve(......

> restart:with(plots):
> implicitplot(x=3,x=-10..10,y=-10..10);


 

i clearly remember that i have replied to this post before

and just curious

"Table of integrals, series and products" of Gradshteyn and Ryzhik

where can i get this ? is there a free PDF copy ?

thanks

Int(exp(1)^(-x^2),x=0..infinity);value(%);

maple returns me with an answer of

 (1/2)*sqrt(Pi)

however my tutorial sheet says it should be sqrt(Pi)

which is correct?

thanks

so for this question

i wrote down the wrong equation? wrong limits?

doing by hand the last step gives me

Int(-x*sin(2*x)+x*sin(x),x=0..Pi);value(%);

gives me POSITIVE value which is as expected

what's wrong with

Int(Int(x*cos(x+y),y=0..x),x=0..Pi);value(%);

hi

i dont know if they are tasks for maple

but i think it's easier of you just do them without maple

Q4 and Q5   clearly you have to take the 1st and 2nd diravitive of the function

1, diff(cos((1+sinx)^0.5))

with respect to ?? 

diff(cos((1+sin(x))^0.5),x)

2. plot(int(cos((1+sinx)^0.5))
this one it shown me that "Warning, unable to evaluate the function to numeric values in the region; see the plotting command's help page to ensure the calling sequence is correct"

again sinx  should be sin(x)  and you might want to specify the range x=a..b

3.int(cos((1+sinx)^0.5),x=0..5)

sinx  should be  sin(x)

not work
 

4. maximum(cos((1+sinx)^0.5),x=0..5)

sinx  should be  sin(x)

not work, it call error
5.minimum(cos((1+sinx)^0.5),x=0..5)

sinx  should be  sin(x)

same with question 4

a := Generate(set(integer(range=1..999999999999), 1000000))):

it dose NOT display any results but the actual output is stored in "a" as you have defined it to be

i like the shape of the solutions!

is it a real model of something?

what's your problem with maple