Solve the given differential equation

Step-by-step explanation:

I initially got stuck at the very beginning because I did the product rule wrong T-T

Isolate the y' by dividing out the x in front of it and simplify a bit. Then substitute y/x for a variable (I chose z), replace all applicable variables, and simplify where needed.

At this point it should be separable! Separate the variables as you normally would and integrate to solve.

Lastly, use the previous z=y/x relationship to replace the z portions and get your answer in terms of the original x and y variables.

My work is in the attachment. Comment woth questions or if something seems off.

$53.50

step-by-step explanation:

you have to subtract the amount of money chuck earned ($72.50) by the cost of the gas for the mower ($11.25) and the new string for the trimmer he bought ($7.75).

72.50-11.25=61.25

and then subtract $61.25 by the second thing he bought (the new string for the trimmer)

61.25-7.75=53.5

so in total it's $53.50 (53 dollars and 50 cents)