Category: Differential Equations
"Published in Newark, California, USA"
Find the particular solution for
in which y = 6 when x = 0.
Solution:
Consider the given equation above
In order to separate dx and dy from other variables, divide both sides of the equation by (y - 2) cot x as follows
Integrate both sides of the equation, we have
Take the inverse natural logarithm on both sides of the equation, we have
Substitute the value of x and y in order to get the value of C as follows
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)
Wednesday, July 30, 2014
Tuesday, July 29, 2014
Separation of Variables - Arbitrary Constant, 2
Category: Differential Equations
"Published in Newark, California, USA"
Find the particular solution for
in which y = 2 when x = 5.
Solution:
Consider the given equation above
Since dx and dy have the same variables, then we can integrate both sides of the equation as follows
Substitute the value of x and y in order to get the value of C as follows
Therefore, the particular solution is
"Published in Newark, California, USA"
Find the particular solution for
in which y = 2 when x = 5.
Solution:
Consider the given equation above
Since dx and dy have the same variables, then we can integrate both sides of the equation as follows
Substitute the value of x and y in order to get the value of C as follows
Therefore, the particular solution is
Monday, July 28, 2014
Separation of Variables, 22
Category: Differential Equations
"Published in Vacaville, California, USA"
Find the general solution for
Solution:
Consider the given equation above
In order to separate dx and dy from other variables, divide both sides of the equation by ex•ey as follows
Integrate both sides of the equation, we have
Therefore, the general solution is
"Published in Vacaville, California, USA"
Find the general solution for
Solution:
Consider the given equation above
In order to separate dx and dy from other variables, divide both sides of the equation by ex•ey as follows
Integrate both sides of the equation, we have
Therefore, the general solution is
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