Explain differential equation of order 3?

[preekap]

Explain differential equation of order 3? With example?

 

[HallsofIvy]

A differential equation of order three is an equation with an unknown function that involves the third derivative of that function.

Examples:

[tex]\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.[/tex]