Solution of two first order differential equation with one algebraic equation.

rickyvery
Messages
2
Reaction score
0
Dear Friends

i am trying to solve two first order differential eqs. with one algebraic eq.

i am able to get solution of problem by simply solving two first order differential eqs. i do not know how to incorporate algebraic eq with my solution.

please see attachment

thanks in advance

Ricky
 

Attachments

Physics news on Phys.org
Hi !
did you check if the initial conditions are consistent with the algebric relationship ?
If not, there is a mistake in the wording of the problem.
 
JJacquelin said:
Hi !
did you check if the initial conditions are consistent with the algebric relationship ?
If not, there is a mistake in the wording of the problem.

Dear JJacquelin,

You are right. algebraic equation is not satisfying initial condition.

thanks for your reply.

Ricky
 
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...
Back
Top