a2ef195c-4e25-4f7e-be77-55f9ef5c9488 24 4 5 decimal

&[DATE] &[TIME] - &[FILENAME]

p 2 π * k * t * t f t diff * - :

q 2 π * h * u * T1 u f - (* - :

Solve DE [simple] p q ≡ t f t diff solve maple h u * T1 - u f + (* k t * / -

x f h k T1 t Φ h x * T1 - x f + (* k t * / - :

h 1 : k 1 : T1 1 : t 2 : 14 mat

x f x 0.5^:

x f h k T1 t Φ

x 0.5 :

h x * T1 - x f + (* k t * / - 0.0732

Roots solve on the canvas

x Clear 1

x F x tan x - :

x sol u F x - 0 ≡ u 1 roots :

x Sol u F x - 0 ≡ u 1 - roots :

◄  NOT accurate [8 D] u F u sol - 0 ≡ u 1 1.2 solve 1.16556118438406

uu 1.165561185207215 :

roots solve for quick plot

x F x sol x Sol uu uu F + 40 black 1 5 mat 4 1 sys

0.5 sol 0.75 - Sol 21 mat 0.975 1.0679 - 21 mat

uu F uu sol - 5.4688 1015 -^* -

1.165561185207215

uu F 1.1655611852072

x f 2010 x * + x 2^+ :

assign solution as dummy 'x' x X x f fsolve maple :

roots x f fsolve maple : 7.236067977 - 2.763932023 - 21 mat

sol 12345678910110 mat transpose :

sol Clear 1

x f roots 1 el 0 + 20 red 1 5 mat roots 2 el 0 + 20 red 1 5 mat 3 1 sys

Variable list solve ▼ ...

n 014 / 12 / 34 / 1 0.9875 16 mat transpose : i 1 n rows range sol i el x 0.125 + sin n i el ≡ x fsolve maple : for 21 line

sol 0.125 - 0.1277 0.3986 0.7231 1.4458 1.2875 78910101 mat

More from 'johnspark' Adelaide

x f x cos 2 x 2^- (* 2 x * x sin * + :

x A7 x π 3 / ≡ x f subs maple : 18 π 2^- (3 sqrt * 18 π * + 183 sqrt * /

x C8 x 2^x sin * x Int value maple : x 2^x cos * - 2 x cos * + 2 x * x sin * +

x D8 x 2^x sin * x π 4 / π 3 / int maple : π 2^18 / - 1 + π 312 /^* 3 / + π 2^212 /^* 32 / + 212 /^- π 212 /^* 4 / -

x 2^x sin * x π 4 / π 3 / int 0.1767

expr π 2^18 / - 1 + π 312 /^* 3 / + π 2^212 /^* 32 / + 212 /^- π 212 /^* 4 / - (: 0.1767

expr 0.1767

x 2^x a - sin * x Int value simplify maple x - a + cos 2 x 2^- (* 2 x - a + sin * x * -

x 2^x a - sin * x int simplify maple x - a + cos 2 x 2^- (* 2 x - a + sin * x * -

2313 / + (* 53 / 45 / - / 10013 /

A26 100! maple : 93326215443944152681699238856266700490715968264381621468592963895217599993229915608941463976156518286253697920827223758251185210916864000000000000000000000000

B26 A26 length maple : 158

C26 60 ifactor maple : 22^3 * 5 *

A27 12345 igcd maple : 3

253 / Floor 8

B27 253 iquo maple : 8

C27 18002676583 isprime maple : true

A28 π 100 evalf maple : 3.141592653589790

x B31 247 binary convert maple : 11110111

x C31 1023 hex convert maple : 3FF

native Smath 11 BesselY 0.7812 -

x A40 exp x^exp 2 y *^* combine maple : exp x 2 y * +^

number x^number 2 y *^* number x 2 y * +^

x B40 x A40 nops maple : 2

x A54 x 2^4 ≡ x solve maple : 22 - 21 mat

a x b c B54 a x 2^* b x * + c + 0 ≡ x solve maple : b - b 2^4 a * c * - sqrt + 2 a * / b b 2^4 a * c * - sqrt + 2 a * / - 21 mat

Smath SYMBOLIC x poly x x 2^+ x 3^- 1 + x 4^- : 1 x 1 x 1 x - (* + x 3^- (* +

x y poly y 3^x 2^y 2^* + x 3^+ :

x y poly y 2^y x 2^+ (* x 3^+

x y z A143 x 1 + (y z + (* expand maple : x y * x z * + y + z +

x y z B143 x 1 + (y z + (* x 1 + expand maple : 1 x + (y z + (*

x y z C x 1 + (y 2^2 y * - 1 + (z y 1 - (/ / * expand maple : 1 x 1 y 3 - y 3 y - (* + (* + (* + y 2^3 y - (* + 3 y * - z / -

x D143 x abs 2^1 x abs + / ln maple : 2 x abs ln * 1 x abs + ln -

native Smath
eval symbolic x abs (2^1 x abs + / ln 2 x abs ln * 1 x abs + ln -

x A149 x 1 x / + normal maple : 1 x 2^+ x /

native Smath
eval symbolic x 1 x / + x 2^1 + x /

otherwise
eval symbolic x 1 + (y 2^2 y * - 1 + (z y 1 - (/ / * 1 x + (1 y 2 - y + (* + (* 1 - y + (* z /

x v 1 x / x 1 x + / + :

x v 1 x + x 2^+ 1 x + (x * /

x v normal maple 1 x 1 x + (* + x 1 x + (* /

x y * z * x y * + x z * + y z * + simplify maple x z y 1 z + (* + (* y z * +

native Smath ►  Calculation ►  Simplify x z y 1 z + (* + (* y z * +

expr x y * z * x y * + x z * + y z * + (: x z y 1 z + (* + (* y z * +

expr x 1 x / + : x 2^1 + x /

x 2 y * + 3 ≡ x solve x 2 y * + 3 ≡ y solve 21 mat maple 32 y * - 3 x - 2 / 21 mat

y 1 x / + π ≡ x solve y 1 x / + π ≡ y solve 21 mat maple 1 y π - / - 1 - π x * + x / 21 mat

e 6^(2^e 3^* exp combine maple 15 exp

e 6^(2^e 3^12 mat exp combine maple 1 exp 12^1 exp 3^12 mat

x 3 nn *^x 12 mat power combine maple x 3 nn *^x 12 mat

x 3 nn *^x 2^12 mat power combine maple x 3 nn *^x 2^12 mat

x sin x cos * trig combine maple 2 x * sin 2 /

A 115322 mat :

B 13854021 mat :

A B dn_LinAlgSolve 637521 mat

x g x 1 x + x 2^+ / :

x g x asympt maple 1 x / 1 x 2^/ - 1 x 4^/ + 1 x 5^/ - 1 x 7^/ O +

4 bernoulli maple 130 / -

6 euler maple 61 -

53 pochhammer maple 210

x 3^y 3^- x y - divide maple true

1.0 2.0 3.0 WeierstrassP maple #

x y f x 2^y 2^+ sin :

x y f x mtaylor maple x y f y mtaylor maple 21 mat

m 3 binomial factorial convert maple m! 63 - m + (! * /

m 3 binomial GAMMA convert maple 1 m + GAMMA 62 - m + GAMMA * /

x! GAMMA convert maple 1 x + GAMMA

To sleep better [RIP]
set q(x) 'local definition' x q n - (n 1 -^n! / x n^* n 17 sum 11 line :

x q x simplify maple x x 2^- 3 x 3^* 2 / + 8 x 4^* 3 / - 125 x 5^* 24 / + 54 x 6^* 5 / - 16807 x 7^* 720 / +