ODE system phase plot with solutions

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Hello
I need to plot ODE solve on These Quiver lines
here is my code for arrows plot
clc;clear;close all;clear global
x=-.5:0.05:.5;lamda=-.25:.01:.25;
[X,L]=meshgrid(x,lamda);
Dx1=-X.^4+L;
Dl=-.5*(abs(X).^3);
figure()
quiver(X,L,Dx1,Dl,2)
title('System 1')
xlabel('X');ylabel('\lambda')
hold on
and here is the plot
untitled.jpg
how to plot the true line of some solutions??

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