This is a linear differential equation of first order. Solve this by integrating the coefficient of the y term and then raising e to the integrated coefficient to find the integrating factor, i.e. the integrating factor for this problem is e^(6x).
<span>Multiplying both sides of the equation by the integrating factor: </span>
<span>(y')e^(6x) + 6ye^(6x) = e^(12x) </span>
<span>The left side is the derivative of ye^(6x), hence </span>
<span>d/dx[ye^(6x)] = e^(12x) </span>
<span>Integrating </span>
<span>ye^(6x) = (1/12)e^(12x) + c where c is a constant </span>
<span>y = (1/12)e^(6x) + ce^(-6x) </span>
<span>Use the initial condition y(0)=-8 to find c: </span>
<span>-8 = (1/12) + c </span>
<span>c=-97/12 </span>
<span>Hence </span>
<span>y = (1/12)e^(6x) - (97/12)e^(-6x)</span>
36 degree :
Step-by-step explanation:
if the value of angleA= x , angleB=2x , angle C=3x and angle D=4x . the value of x is 36 degree
Answer: 
Step-by-step explanation:
Given
Radius of cylinder 
The height of the cylinder is 
The surface area of a cylinder is 
If only the outer is considered then, the area required is
Answer:
(x +2) (x-6)
Step-by-step explanation:
x^2 -6x + 2x + 12 =
x^2 -4x + 12
Since 7.6 is the cost per package, and x represents the number of packages, the expression 7.6x would represent the cost for the packages. Once we add the base fee, we get the equation:
y = 7.6x + 6.95
Hope this helps.
