Concept: The order of a differential equation is the order of the highest derivative appearing in it. The degree of a differential equation is the degree of the highest derivative occurring in it, after the equation has been expressed in a form free from radicals as far as the derivatives are concerned. A differential equation is said to be linear when Dependent variable and its derivative should have power ‘1’. Dependent variable and its derivatives can have product with independent variable. Dependent variable and its derivatives can’t have product. Calculation: Given differential equation is yy''+(y''')2 + xy' = yx2 Here x is the independent variable y is the dependent variable Highest derivate is y''' So, the order of the given differential equation = 3 The power of the highest derivate = 2 So, the degree of the given differential equation = 2 ∵ The derivative has the power 2, so the equation is non-linear