Category: Differential Equations
"Published in Newark, California, USA"
Find the general solution for
Solution:
Consider the given equation above
Divide both sides of the equation by cos² y in order to separate dx and dy from other variables as follows
Integrate on both sides of the equation, we have
Therefore, the general solution is
where F = 2C.

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)
Monday, April 6, 2015
Sunday, April 5, 2015
Separation of Variables, 33
Category: Differential Equations
"Published in Newark, California, USA"
Find the general solution for
Solution:
Consider the given equation above
Divide both sides of the equation by (x - 1) in order to separate dx and dy from other variables as follows
Integrate on both sides of the equation, we have
Therefore, the general solution is
where A = 1/C.
"Published in Newark, California, USA"
Find the general solution for
Solution:
Consider the given equation above
Divide both sides of the equation by (x - 1) in order to separate dx and dy from other variables as follows
Integrate on both sides of the equation, we have
Therefore, the general solution is
where A = 1/C.
Saturday, April 4, 2015
Separation of Variables, 32
Category: Differential Equations
"Published in Vacaville, California, USA"
Find the general solution for
Solution:
Consider the given equation above
Divide both sides of the equation by y(x + 2) in order to separate dx and dy from other variables as follows
Integrate on both sides of the equation, we have
Take the inverse natural logarithm on 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
Divide both sides of the equation by y(x + 2) in order to separate dx and dy from other variables as follows
Integrate on both sides of the equation, we have
Take the inverse natural logarithm on both sides of the equation, we have
Therefore, the general solution is
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