Category: Differential Equations
"Published in Newark, California, USA"
Eliminate the arbitrary constant for
ω is a parameter.
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
Multiply the given equation by ω², we have
Now, let's consider the two equations
If you add the two equations, their right side will be eliminated and therefore, the final answer is
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
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
