Category: Differential Equations
"Published in Newark, California, USA"
Find the particular solution for
when x → ∞, y = ½.
Solution:
Consider the given equation above
Divide both sides of the equation by exy2 as follows
Integrate on both sides of the equation, we have
Substitute the values of x and y in order to solve for C as follows
Since ∞·0 is indeterminate form, then we have to rewrite the working equation as follows
Apply the L'Hopital's Rule, we have
Hence, the value of C is
Therefore, the particular solution is
This website will show the principles of solving Math problems in Arithmetic, Algebra, Plane Geometry, Solid Geometry, Analytic Geometry, Trigonometry, Differential Calculus, Integral Calculus, Statistics, Differential Equations, Physics, Mechanics, Strength of Materials, and Chemical Engineering Math that we are using anywhere in everyday life. This website is also about the derivation of common formulas and equations. (Founded on September 28, 2012 in Newark, California, USA)
Showing posts with label Differential Equations. Show all posts
Showing posts with label Differential Equations. Show all posts
Sunday, April 26, 2015
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