Category: Differential Equations
"Published in Newark, California, USA"
Eliminate the arbitrary constant for
ω is a parameter; not to be eliminated.
Solution:
Consider the given equation above
Take the derivative on both sides of the equation with respect to t, we have
Take the derivative on both sides of the equation again with respect to t, we have
Substitute the above equation to the given equation and therefore, the final answer 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)
Friday, March 6, 2015
Thursday, March 5, 2015
Eliminating Arbitrary Constant, 5
Category: Differential Equations
"Published in Newark, California, USA"
Eliminate the arbitrary constant for
Solution:
Consider the given equation above
Divide both sides of the equation by x², we have
Take the derivative on both sides of the equation with respect to x, we have
Multiply both sides of the equation by x³dx and therefore, the final answer is
"Published in Newark, California, USA"
Eliminate the arbitrary constant for
Solution:
Consider the given equation above
Divide both sides of the equation by x², we have
Take the derivative on both sides of the equation with respect to x, we have
Multiply both sides of the equation by x³dx and therefore, the final answer is
Wednesday, March 4, 2015
Eliminating Arbitrary Constant, 4
Category: Differential Equations
"Published in Newark, California, USA"
Eliminate the arbitrary constant for
Solution:
Consider the given equation above
Divide both sides of the equation by y, we have
Take the derivative on both sides of the equation with respect to x, we have
Multiply both sides of the equation by y²dx and therefore, the final answer is
"Published in Newark, California, USA"
Eliminate the arbitrary constant for
Solution:
Consider the given equation above
Divide both sides of the equation by y, we have
Take the derivative on both sides of the equation with respect to x, we have
Multiply both sides of the equation by y²dx and therefore, the final answer is
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