Eliminating Arbitrary Constant, 13

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 c₁ to the given equation and therefore, the final answer is

Eliminating Arbitrary Constant, 12

Category: Differential Equations

"Published in Vacaville, California, USA"

Eliminate the arbitrary constant for

Solution:

Consider the given equation above

Since there are two constants in the given equation, then we need to get the derivative with respect to x twice in order to solve for the value of constants.

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

Again, take the derivative of the above equation with respect to x and therefore, the final answer is

Eliminating Arbitrary Constant, 11

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  

Again, take the derivative of the above equation with respect to x, we have

Again, take the derivative of the above equation with respect to x and therefore, the final answer is