Homework Statement
I am just wanting to get a good starting point... not an answer to the question. Question: A desk contains three drawers. Drawer 1 has two gold coins. Drawer 3 has one gold coin and one silver coin. Drawer 3 has two silver coins. I randomly choose a drawer and then randomly...
Yeap... that was a rookie mistake on my part. I do have another question: I have solved the problem down to the point where ∂F/∂x=(2ye2x+y2ex-2x)/2+A(y) and ∂F/∂y=ex(y+ex)→e2x+A'(y) am I correct in answering A'(y)=yex because it is the only variable of y in ∂F/∂y which i would then intergrate...
Homework Statement
Am looking at a first order, non linear differential equation. I want to solve for a general solution and will have to find a constant with given parameters. Equation: 3x2y+8xy2+(x3+8x2y+12y2)dy/dx=0 Parameters: y(2)=1Homework Equations
∂M/∂y=∂N/∂x (Exactness) & (My-Nx)/N...
Cannot prove the DE is exact??
Hey guys I am looking at a non-linear first order DE. the problem is : (y^2)/2+2*y*exp^(x) +(y+exp^(x))dy/dx=exp^(-x) y(0)=1. I put everything on the same side: ((y^2)/2+2*y*exp^(x)-exp^(-x))dx+(y+exp^(x))dy=0. This equation is not exact so I use (My-Nx)/N and got...