I Expressing a differential equation into a different format

Shovon00000
Messages
3
Reaction score
0
How do we express this differential equation (dy/dx)= (y/x) + tan(y/x) into this form( Mdx + Ndy=0) where M,N are functions of (x,y) ?
 
Physics news on Phys.org
\frac{dy}{dx}=\frac{y}{x}+\tan\frac{y}{x}=-\frac{M}{N}
why do not you make
M=\frac{y}{x}+\tan \frac{y}{x},N=-1
 
Last edited:
Thread 'Direction Fields and Isoclines'

Thread 'Direction Fields and Isoclines'

I sketched the isoclines for $$ m=-1,0,1,2 $$. Since both $$ \frac{dy}{dx} $$ and $$ D_{y} \frac{dy}{dx} $$ are continuous on the square region R defined by $$ -4\leq x \leq 4, -4 \leq y \leq 4 $$ the existence and uniqueness theorem guarantees that if we pick a point in the interior that lies on an isocline there will be a unique differentiable function (solution) passing through that point. I understand that a solution exists but I unsure how to actually sketch it. For example, consider a...
View full post »

Similar threads

I Why Lagrange’s method of solving Pp + Qq=R works?
Replies
3
Views
588
I Integral-form change of variable in differential equation
Replies
1
Views
2K
I Direction Fields and Isoclines
Replies
1
Views
127
I Solving Differential Equation Using Reduction of Order
Replies
2
Views
3K
MHB Reduce an equation to a homogenous equation?
Replies
3
Views
2K
I Understanding relationship between heat equation & Green's function
Replies
6
Views
3K
General solution vs particular solution
2
Replies
52
Views
7K
I On sub and super solutions: Teschl and others
Replies
5
Views
3K
I Finding Max and Min Extremes of a Function with Second Derivatives Equal to Zero
Replies
1
Views
2K
I Can I Differentiate Both Sides to Solve y in y^2=ln(1-y^2)?
Replies
2
Views
2K

Hot Threads

Recent Insights

Back
Top