Answer:
y=x/2-1/4
Step-by-step explanation:
From exercise we have
C=0.
dy/dx+2y=x
Use the formula:
∫xe^(2x)dx=e^(2x)(x/2−1/4).
We know that a linear differential equation is written in the standard form:
y' + a(x)y = f(x)
we get that: a(x)=2 and f(x)=x.
We know that the integrating factor is defined by the formula:
u(x)=e^{∫ a(x) dx}
⇒ u(x)=e^{∫ 2 dx} = e^{2x}
The general solution of the differential equation is in the form:
y=\frac{ ∫ u(x) f(x) dx +C}{u(x)}
⇒ y=\frac{ ∫ e^{2x}· x dx + 0}{e^{2x}}
y=\frac{e^{2x} (x/2-1/4)}{e^{2x}
y=x/2-1/4
Answer:
Step-by-step explanation:
x = 1
Step 1: Simplify both sides of the equation.
20x−−2x−16=6
20x+2x+−16=6
(20x+2x)+(−16)=6(Combine Like Terms)
22x+−16=6
22x−16=6
Step 2: Add 16 to both sides.
22x−16+16=6+16
22x=22
Step 3: Divide both sides by 22.
22x
22
=
22
22
Answer:
$41, 863. 50
Step-by-step explanation:
$2000 - 6.5% = $1,993.50
$1,993.50 x 21 = $41, 863. 50
Answer:
-9
Step-by-step explanation:
3x=-27