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ordinary differential equation is obtained only one independent variable and partial differential equation is obtained more than one variable.

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ordinary differential equation is obtained only one independent variable and partial differential equation is obtained more than one variable.

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exact differential equation, is a type of differential equation that can be solved directly with out the use of any other special techniques in the subject. A first order differential equation is called exact differential equation ,if it is the result of a simple differentiation. A exact differential equation the general form P(x,y) y'+Q(x,y)=0
Differential equation is a mathematical equation. These equation have some fractions and variables with its derivatives.

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The rate at which a chemical process occurs is usually best described as a differential equation.

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The order of a differential equation is a highest order of derivative in a differential equation.

For example, let us assume a differential expression like this.

d2y/dx2 + (dy/dx)3 + 8 = 0

In this differential equation, we are seeing highest derivative (d2y/dx2) and also seeing the highest power i.e 3 but it is power of lower derivative dy/dx.

According to the definition of differential equation, we should not consider highest power as order but should consider the highest derivative's power i.e 2 as order of the differential equation. Therefore, the order of the differential equation is second order.

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An ordinary differential equation (ODE) has only derivatives of one variable.

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