The given ODE

is exact if
. It so happens that we have
, so it is indeed exact. For such an ODE, we're looking for a solution of the form
, for which the differential is

so we have the following system of PDEs that allow us to solve for
:


In the first PDE, we can integrate both sides with respect to
and recover
:


Then differentiating this with respect to
returns
:



So the general solution to the ODE is

or simply

The answer is 1 inch equals 8
The value is 62.50
To the get whole value or 100 % of the value, we always divide the value to its corresponding percentage.
25 is the value; 40% is the percentage of 25 from the whole value.
25 / 40% = 62.50
In the event that the value of a part and the whole is given and the percentage is required. Simply divide the part by the whole to get its percentage of the whole.
whole = 62.50
part = 25
25 / 62.50 = 0.40 * 100% = 40%
If the whole value and the percentage is given. To find the value of the percentage, simply multiply the whole to the percentage.
whole = 62.50
percentage = 40%
62.50 * 40% = 25
Answer:
16/5 or 3 1/5 or 3.2
Step-by-step explanation:
6/15*8
Dividing by 3 on both numerator and denominator,
2/5 *8 = (2*8)/5 = 16/5
Answer:
Solution of the system of equations: (1, 1)
x = 1, y = 1
Explanation:
Given the below system of equations;

Note that the slope-intercept form of the equation of a line is given as;

where m = slope of the line
b = y-intercept of the line
Comparing the given system of equations with the slope-intercept equation, we can see that, for the 1st equation (y = -3x + 4), the slope(m) = -3 and y-intercept(b) = 4 and for the 2nd equation, slope(m) = 3 and y-intercept(b) = -2.
Knowing the above information, let's go ahead and graph the system of equations;
From the above graph, the point of intersection of the two lines (1, 1) is the solution of the system of equation.