Newton's equation of cooling is a differential equation. If K is the temperature of a body at time t, then dK/dt = -r*(K - Kamb) where Kamb is the temperature of the surrounding, and r is a positive constant.
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ordinary differential equation is obtained only one independent variable and partial differential equation is obtained more than one variable.
2VdV + 2PdP + 3T2dT (this is an expression, not an equation because there is no equals sign)
It is the solution of a differential equation without there being any restrictions on the variables (No boundary conditions are given). Presence of arbitrary constants indicates a general solution, the number of arbitrary constants depending on the order of the differential equation.
Yes, it is.
An Airy equation is an equation in mathematics, the simplest second-order linear differential equation with a turning point.