I want to take a trip to California. I need to choose if I want to fly, drive, or take a train. Once I am there, I can stay at a
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Answer:
The result of the integral is
Step-by-step explanation:
We are given the following integral:
I am going to solve by substitution, using , so
. So, we have
Which has the following result:
Going back to x, the result of the integral is
Answer:
Step-by-step explanation:
We have a separable equation, first let's rewrite the equation as:
But:
So:
Multiplying both sides by dx and dividing both sides by 3a+y:
Integrating both sides:
Evaluating the integrals:
Where C1 is an arbitrary constant.
Solving for y:
So:
Finally, let's evaluate the initial condition in order to find C1:
Solving for C1:
Therefore: