The answer is, A) No solution
Answer with explanation:
The given differential equation is
y" -y'+y=2 sin 3x------(1)
Let, y'=z
y"=z'

Substituting the value of , y, y' and y" in equation (1)
z'-z+zx=2 sin 3 x
z'+z(x-1)=2 sin 3 x-----------(1)
This is a type of linear differential equation.
Integrating factor

Multiplying both sides of equation (1) by integrating factor and integrating we get


Answer:
Quesnel Lake:Lake Baikal=.31
Quesnel Lake:Great Slave Lake=.82
Step-by-step explanation:
1 foot = .3048 meters
Lake Baikal: 5369 ft. = 1636.4712 m
Great Slave Lake: 2015 ft. = 614.172 m
Quesnel Lake: 506 m
Quesnel Lake:Lake Baikal

Quesnel Lake:Great Slave Lake

You can verify this by plugging the numbers into the Pythagorean theorem,

, where c is the hypotenuse (the longest side, in this case 53).
So it would be:

The equation is true.
2809 = 2809
Answer:
B. 7.3 %
Step-by-step explanation:
Given:
Initial average grade = 82
Final average grade = 88
Duration for the increase = 3 weeks
Therefore, increase in average grade = Final - Initial = 88 - 82 = 6
Now, percent increase in average grade is given as:

Therefore, the percent increase in her average grade over the 3-week period is 7.3 %.