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How do i solve non linear DE in matlab

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Ashvin Bhat
Ashvin Bhat 2022-2-10
回答： Abraham Boayue 2022-2-11
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AndresVar
AndresVar 2022-2-11
编辑：AndresVar 2022-2-11
you can try using
ySol(t) = dsolve(ode,cond,'implicit',true)
It gives the same solution as in wolfram alpha. It is a separable first order nonlinear ODE.
Also see you can try ode45 to get numerical solution:
Solve nonstiff differential equations — medium order method - MATLAB ode45 (mathworks.com)
Ashvin Bhat
Ashvin Bhat 2022-2-11
I got this, I don't understand how special cases is causing a problem here since its only a DE which has to be solved, analytical constraints maybe reasonable but since we have given a condition for the DE and have no arbitrary constants it shouldn't be a problem. Can you help me out with the ode45 part?

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Abraham Boayue
Abraham Boayue 2022-2-11
%Here is the required ode45 code.
clear variables
close all
xspan = [0 10];
y0 = 1;
[t,y] = ode45(@(x,y)x.*y.^5+x.*cos(y), xspan, y0);
plot(t,y,'linewidth',2.5)
a = title('y(x) from ode45');
set(a,'fontsize',14);
a = ylabel('y');
set(a,'Fontsize',14);
ylim( [0 10]);
grid

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