Recent content by tuablink

Hi, I am a computational science major and I am interested to learn physic. Could anyone please recommend me some physics websites that teach me or a book for beginner? Any help please! Thank you

I used the substitution and i got: u=x-y du/dx=1-dy/dx dy/dx=1-du/dx 1-du/dx=u -du/dx=u-1 -du/u-1=dx integral(-du/u-1)=integral(dx) -ln(u-1)=x+c e^ln(u-1)=e^-x-c u=e^x-c+1

I tried solving it by using MATLAB but it didn't work out. How can I solve it by hand?

Once I finish part b. how can I do part c.

What did I do wrong?

This should be the right derivative: y'(x)=-y-sin(x-y)/sin(x-y)+x What do I do next?

But how can I find y(10)

How can I solve this? Mod note: merging threads --Redbelly98 Homework Statement The derivative of cos(x-y)=xy is -sin(x-y)*(1+dy/dx)=y+x*dy/dx Homework Equations The Attempt at a Solution I simplified a little and I got -sin(x-y)-dy/dxsin(x-y) = y+x*dy/dx I got stuck

The left hand side is -sin(x-y)*1 The right hand side is y

I think I did it right this time. -sin(x-y)+cos(x-y)=x+y

I am positive. The original equation is dy/dx = cos(x^2)*exp(sin(x))

I actually use ODE45 in MATLAB to solve the equation and plot it simultaneously. I tried to integrate the equation using 'int' command but it did not work. I have no clue how to solve it with only one variable on the right hand side because to solve the separable differential equation you need...

I got: y = cos(x^2)*exp(sin(x)) integral(y) = integral(cos(x^2)*exp(sin(x))) I got stuck. What do I need to do next

Homework Statement a.Find solution to the differential equation dy/dx=cos(x^2)*exp(sin(x));y(0)=0 for x in the interval [0,10] b.find y(10) Homework Equations The Attempt at a Solution I don't know where to begin

I tried and it gave me an error "Warning: Explicit solution could not be found"