The order of a differential equation is the order of the highest order derivative present in the equation. dx )2 = y (dy)^2 / dx2 + ey has order 3. The degree of a differential equation is the power of the highest order derivative in the equation.
The differential equation must be a polynomial equation in derivatives for the degree to be defined.
Example 1:-d4ydx4+(d2ydx2)2–3dydx+y=9
Here, the exponent of the highest order derivative is one and the given differential equation is a polynomial equation in derivatives. Hence, the degree of this equation is 1.
The differential equation must be a polynomial equation in derivatives for the degree to be defined.
Example 1:-
Here, the exponent of the highest order derivative is one and the given differential equation is a polynomial equation in derivatives. Hence, the degree of this equation is 1.
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