
Divide both sides by
:

Substitute
, so that
.

Multiply both sides by
:

The left side can be condensed into the derivative of a product.

Integrate both sides to get

Solve for
:

Solve for
:

![\implies\boxed{y(x)=\sqrt[3]{\dfrac14x^2e^x(2\ln x-1)+Ce^x}}](https://tex.z-dn.net/?f=%5Cimplies%5Cboxed%7By%28x%29%3D%5Csqrt%5B3%5D%7B%5Cdfrac14x%5E2e%5Ex%282%5Cln%20x-1%29%2BCe%5Ex%7D%7D)
Find TU with Pythagorean theorem:
TU=√6²-3²=√36-9=√27=3√3
Now you can find y:
y=√TU²+9²=√27+81=√108=6√3
Answer:
3.75 liters a day
Step-by-step explanation:
Answer:
380/14= 27.14 miles per gallon
27.14/2=13.57 miles
they wont reach the gas station
Step-by-step explanation: