Question about Computers & Internet
I have six nonlinear equations and six unknows, can I use Newton raphson method for this prob.
I hope you will find the answer here
Posted on May 24, 2008
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Posted on Jan 02, 2017
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Hi janeth sabay,
Have a good day!!
Here is your needed example for Homogenous differential equation:
The equation is said to be homogeneous if P and Q are homogeneous functions of x and y of the same degree.(1)
We can test to see whether this first order equation is homogeneous by substituting . If the result is in the form f(v)i.e. all the x's are canceled then the test is satisfied and the equation is Homogeneous.Example 1:(2)(3)There are no terms in x on the right hand side and the equation is Homogereous.Example 2:(4)(5)So the original equation is not homogeneous.Methods Of Solution.
Putting y - vx
Since y is a function of x so is v
Separating the variables
Substituting (12) in equation (10)
I can suugest you also to visit this site for more examples http://www.codecogs.com/reference/maths/differential_equations/homogeneous_differential_equations.php
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