Explain differential equation of order 3?

preekap
Messages
5
Reaction score
0
Explain differential equation of order 3? With example?
 
Physics news on Phys.org
A differential equation of order three is an equation with an unknown function that involves the third derivative of that function.

Examples:

\frac{d^3y}{dx^3}= 0[/itex]<br /> where y is an unknown function of x.<br /> <br /> y^2\frac{d^3y}{dt^3}- 7y\frac{d^2y}{dt^2}+ sin(y)\frac{dy}{dt}+ e^{ty}= ln(t)<br /> where y is an unknown function of t.
 
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