CBSE Class 12-science Answered
There are 3 methods used to solve differential equations,how can we determine which one from the question?
Asked by Susan fletcher | 18 Feb, 2014, 11:59: AM
Expert Answer
First find the order and degree of the differential equation.
The differential equations of the first order and first degree can be expressed as Mdx+Ndy=0, where, M and N are the functions of x and y.
Step 1: Check whether the function is a variable separable one.
That is the differential equation can be expressed as f(x)dx+g(y)dy = 0, where f(x) is a function of x alone and g(y) is a function of y alone.
Step 2: If the function is not variable separable, check whether it is an homogenous equation.
A function of two variables f(x,y) is said to be homogeneous of degree n if we replace both variables x and y by 
, we find: 
, we find: Step 3:If the given equation cannot be solved by variable separable and homogeneous methods, then check whether it can be expressed in the form, 
Or check whether it can be expressed in the form, 
Answered by | 18 Feb, 2014, 02:40: PM
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