The ODE is linear. Multiplying both sides by
allows you to condense the left hand side as the derivative of a product.
![\dfrac{\mathrm d}{\mathrm dt}\left[e^{7t}x\right]=5e^{7t}\cos2t](https://tex.z-dn.net/?f=%5Cdfrac%7B%5Cmathrm%20d%7D%7B%5Cmathrm%20dt%7D%5Cleft%5Be%5E%7B7t%7Dx%5Cright%5D%3D5e%5E%7B7t%7D%5Ccos2t)
Integrating both sides with respect to
yields
The integral can be done by parts. You should get
With the given initial condition, you have
So the particular solution to the ODE is
Answer:
The new ordered pair would be (-3, 4)
Step-by-step explanation:
The change would just be a change of the symbol of the y value. This is because a reflection over the x-axis will not change the x value and will give you a y on the other side.
If the bicycle went 120 miles in 5 hours, and the motorcycle was three times as fast as the bicycle, then the motorcycle went 480 miles in 5 hours.
Answer:
1. Paying off your credit card each month
2. Mortgage
3. ?
4. All of the above
I'm not sure about the 3rd question.
Answer:
-40m + 24
Step-by-step explanation:
to answer this question you should distribute the -8 to all the digits
-8m + 24 -32m
then you can add like terms
-8m and -32m become -40m
-40m + 24 is the answer
