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Tuesday, March 10, 2015

Eliminating Arbitrary Constant, 10

Category: Differential Equations

"Published in Vacaville, California, USA"

Eliminate the arbitrary constant for


Solution:

Consider the given equation above 


Take the derivative on both sides of the equation with respect to x, we have  






Substitute the value of a to the given equation and therefore, the final answer is  






Monday, March 9, 2015

Eliminating Arbitrary Constant, 9

Category: Differential Equations

"Published in Vacaville, California, USA"

Eliminate the arbitrary constant for


where h is a parameter and m to be eliminated.

Solution:

Consider the given equation above 


Take the derivative on both sides of the equation with respect to x, we have 





Substitute the value of m to the given equation and therefore, the final answer is 


Sunday, March 8, 2015

Eliminating Arbitrary Constant, 8

Category: Differential Equations

"Published in Vacaville, California, USA"

Eliminate the arbitrary constant for


Solution:

Consider the given equation above  

  
Take the derivative on both sides of the equation with respect to x, we have  





Substitute the value of c to the given equation and therefore, the final answer is