test1_03.mw

The solution I'm getting here for v(y), doesn't satisfy my original two equations. Like for example if I choose u(y)=y, for easy check it can be seen that my de2 equation doesn't satisfy that value.

Can anyone help me out?

contour.mw

I'm having trouble executing the following contour plot.

I'm attaching my file. Kindly Help!

phase_diag.mw

The constants(a_1,b_1,c,d,e) here are all real. I have to find them too. Like in MATLAB the constants randomly take any best value and show in the workspace window with the values they took in tracing.

a;b1;b10;b3;b4;b5;b6;b7;b8;b9;c;c7;c8;m2; t(time)(all are real constants)

x and y varying from -20 to 20.

where,

B4=b1/b3;
B5=b4/b3;
B=(B4+(3*B5)/B4)/2;
G2=sin(b5*t+b6)^(2/3);

X=(x+c)/G2;

Y1=-exp(-(b7*y^2+b8*y+b9))

Y2=-cot(b5*t+b6)/b5;

Y=Y1-Y2;

G=2*b5*cot(b5*t+b6);

U(x,y,t)=(a*(x+c))/3-(2*a*c)/3-(((x+c)^2)*G)/18+(B5*Y+2*m2*tan(c7+m2*(X-B4*Y))+c8)/G2;

I want to plot U(x,y,t) in 3d plot with its best constant values(i.e, plot having peaks).

Kindly help

I'm willing to draw phase portrait for the equation of ode fifth order

u'''''+6(u'u'''+(u'')^2)-u'''(a+2b)=0

where a and b are arbitrary constant not equal to zero and (') represents derivative w.r.t  'x'.