## 80 Reputation

2 years, 208 days

## Need to Solve System of ODE Using RK-4...

Maple 2021

Hello Everyone;

I need help to solve the following system using rk-4 method

restart;
NULL;
NULL;
C := 1.0;
gK := 36.0;
gNa := 120.0;
gL := 0.3;
VK := -77.0;
VNa := 50.0;
VL := -54.0;
III := 20;
alpha_n := 0.01*(v(t) + 55.0)/(1 - exp(-1.0/10.0*v(t) - 11.0/2.0));
beta_n := 0.125*exp((-v(t))/80.0 + (-1)*13.0/16.0);
alpha_m := 0.1*(v(t) + 40.0)/(1 - exp(-1.0/10.0*v(t) - 4.0));
beta_m := 4.0*exp(-1.0/18.0*v(t) - 65.0/18.0);
alpha_h := 0.07*exp((-1)*(v(t) + 65.0)/20.0);
beta_h := 1/(1.0 + exp((-v(t) + 35.0)/10.0));

dsys1 := {diff(h(t), t) = alpha_h*(1 - h(t)) - beta_h*h(t), diff(m(t), t) = alpha_m*(1 - m(t)) - beta_m*m(t), diff(n(t), t) = alpha_n*(1 - n(t)) - beta_n(t), diff(v(t), t) = III - gK*n(t)^4*(v(t) - VK) - gNa*m(t)^3*h(t)*(v(t) - VNa) - gL*(v(t) - VL), h(0) = 0.9996937394, m(0) = 0.02890553447, n(0) = 0.2445865495, v(0) = -70};

## Analytical Solution of Nonlinear ODE ...

Maple 2021

Hello Everyone;

Can anybody help me to solve the analytical solution of the following ODE?
AAS := C*diff(y(t), t) + (-B0*y(t)^3 - B1*y(t)^2 - B2*y(t) - B3);y[0] := 1

C,B0,B1,B2 are constants.

## Need to Solve Nonlinear ODE...

Maple 2021

Hello Everyone;

I need to solve the following nonlinear ODE

C*diff(y(x), x) + (-B0*y(x)^3 - B1*y(x)^2 - B2*y(x) - B3) = 0, y(0)=B4

where B0,B1,B2,B3 and B4 are constants. I am trying in Maple 2021, but receiving solution in the form of integral. Is that any other ways that I will be able exact solution. Maple sheet is atatched. I am waiting for your kind respose.

Thanks

Question1.mw

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 Methods for first order ODEs:
 --- Trying classification methods ---
 trying 1st order linear
 trying Bernoulli
 trying separable
 <- separable successful
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 Methods for first order ODEs:
 --- Trying classification methods ---
 trying 1st order linear
 trying Bernoulli
 trying separable
 <- separable successful
 (5)
 >

## not working dsolve comand for ODEs...

Maple 2022

Hello Everyone;

Hope you are fine. I I have make a code but there is error and dsolve comand is working. I also need to plot. Kindly help me. I am waiting kind response. Code is attached.

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Thanks

## Make my Own Code and Call to other file ...

Maple 2021

Hello;

Hope you are fine. I need to learn how can I call my code in the other file of maple, define new value for A and can get results. For this purpose, I just take an simple example as

questionmaple.mw

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