Check if the equation is exact, which happens for ODEs of the form

if
.
We have


so the ODE is not quite exact, but we can find an integrating factor
so that

<em>is</em> exact, which would require


Notice that

is independent of <em>x</em>, and dividing this by
gives an expression independent of <em>y</em>. If we assume
is a function of <em>x</em> alone, then
, and the partial differential equation above gives

which is separable and we can solve for
easily.




So, multiply the original ODE by <em>x</em> on both sides:

Now


so the modified ODE is exact.
Now we look for a solution of the form
, with differential

The solution <em>F</em> satisfies


Integrating both sides of the first equation with respect to <em>x</em> gives

Differentiating both sides with respect to <em>y</em> gives


So the solution to the ODE is


Hey there!
Guide to your question:
“More than” than means “addition” or “add”
“Product” means “multiplication” or “multiply”
So, your answer should be:
1.5 + g * h
Good luck on your assignment and enjoy your day!
~Amphitrite1040:)
This one is easy all you have to do is subtract the 2.25 by the 15 to get 12.75.