The ODE is linear:
Multiplying both sides by 
gives
Notice that the left side can be condensed as the derivative of a product:
Integrating both sides with respect to yields
Since 
,
so that
Answer: See explanation
Step-by-step explanation:
You didn't give the options but let me help out.
First, we need to convert 2 2/3 hours to minutes. This would be:
= 2 2/3 × 60 minutes
= 8/3 × 60 minutes
= 160 minutes
Since water goes over a waterfall at a rate of 162 1/2 gallons every 15 minutes. The the gallons of water going over the waterfall in 2 2/3 hours would be:
= (162 1/2 × 2 2/3hours) / 15 minutes
= (162 1/2 × 160) / 15
= 1733 1/3 gallon
In equation, (-d + e)( 4e + d) will be (-4ed - d^2 + 4e^2 +ed ) to simplify we combine the terms with the same variables such as d^2, e^2 and ed. The equation becomes, 4e^2 - 3ed - d^2 . The product has 3 terms with a degree of 2. The statements that are true are B and E.
