## 45 Reputation

3 years, 347 days

## Solve system of equations in Maple...

Maple 17

Hello!

How do I solve this system? could someone help me please.

restart;
eqns := {x(t+1) = (1+10^(-6)*(0.4e-2-0.6e-2)/(0.1e-3))*x(t)+0.7e-1*10^(-6)*y(t),

y(t+1) = 0.6e-2*10^(-6)*x(t)/(0.1e-3)+(1-0.7e-1*10^(-6))*y(t)};

with:
x(0) = 1
y(0) =
y(0) = 857.1428571

 (1)

 (2)

 (3)

## System Recursive Equations...

Maple

Hello!

How do I get the plot of P(t) and C(t) and also a table with the values of P(t) for each t? Itried but I couldn't...

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Thank!!!

## rsolve for system of recursive equations...

Maple 2019

Hello!

how to find the solutions of a system of recursive equations? And the plot too.

I tried but...

B := rsolve({a(0) = 0, a(i) = (1 + 10^(-5)*(0.01*(i - 1) - 0.007)/0.0001)*a(i - 1) + 0.1*10^(-5)*c(i - 1), c(0) = 0, c(i) = 0.01*10^(-5)*(i - 1)/0.0001*a(i - 1) + (1 - 10^(-5))*0.1*c(i - 1)}, {a(i), c(i)}, 'genfunc'(t));
B := rsolve({a(i) = (0.9983000000 + 0.001000000000 i) a(i - 1)

+ 0.000001000000000 c(i - 1),

c(i) = 0.001000000000 (i - 1) a(i - 1) + 0.09999900000 c(i - 1)

}, {a(i), c(i)}, genfunc(t))

rsolve_for_system_of_recursive_equations.mw

thanks

## How can i get datas of implicit function...

Maple

Equação26_12.mw

Hello!

How can i get datas and graphs of implicit function. I tried...

ode := diff(y(x), x) = (-0.1*(y(x) - 0.7)^3 - 0.8*y(x)*(y(x) - 0.7)^2)/(0.7^2 - 2*0.7*y(x) + y(x)^2 - 0.7*0.2*0.8);
3                        2
d         -0.1 (y(x) - 0.7)  - 0.8 y(x) (y(x) - 0.7)
ode := --- y(x) = -------------------------------------------
dx                                        2
0.378 - 1.4 y(x) + y(x)
/                            3                        2\
| d         -0.1 (y(x) - 0.7)  - 0.8 y(x) (y(x) - 0.7) |
| dx                                        2          |
\                    0.378 - 1.4 y(x) + y(x)           /
ans := dsolve(ode, implicit);
2        9                    199
ans := x + ----------- + -- ln(10 y(x) - 7) + --- ln(90 y(x) - 7)
10 y(x) - 7   28                   252

+ _C1 = 0
ic1 := y(0) = 0;
ic1 := y(0) = 0
sol := dsolve([ode, ic1], implicit);
2        9                    199
sol := x + ----------- + -- ln(10 y(x) - 7) + --- ln(90 y(x) - 7)
10 y(x) - 7   28                   252

2   10         10
+ - - -- ln(7) - -- I Pi = 0
7   9          9
subs(x = 1, sol);
9        2        9                    199
- + ----------- + -- ln(10 y(1) - 7) + --- ln(90 y(1) - 7)
7   10 y(1) - 7   28                   252

10         10
- -- ln(7) - -- I Pi = 0
9          9
solve(9/7 + 2/(10*y(1) - 7) + (9*ln(10*y(1) - 7))/28 + (199*ln(90*y(1) - 7))/252 - (10*ln(7))/9 - 10*I*Pi/9 = 0, y(1));
1     /      /
-- exp|RootOf|-280 I Pi exp(_Z) - 280 ln(7) exp(_Z) + 15680 I Pi
90    \      \

/1           56\
+ 81 ln|- exp(_Z) - --| exp(_Z) + 199 _Z exp(_Z) + 15680 ln(7)
\9           9 /

/1           56\                   \\
+ 324 exp(_Z) - 4536 ln|- exp(_Z) - --| - 11144 _Z - 13608||
\9           9 /                   //

7
+ --
90
implicitplot(sol, x = 0 .. 10, y = 0 .. 10);
/         2        9
implicitplot|x + ----------- + -- ln(10 y(x) - 7)
\    10 y(x) - 7   28

199                   2   10         10
+ --- ln(90 y(x) - 7) + - - -- ln(7) - -- I Pi = 0,
252                   7   9          9

\
x = 0 .. 10, y = 0 .. 10|
/
but I wasn't successful.

Thanks

## How do I solve a equation ln in Maple?...

Maple 2020

Hi!

How do I solve a equation ln in Maple:ln.mw

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