This is the formula for momentum.
P stands for momentum.
m stands for mass.
v stands for velocity
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The solution to the given differential equation is , , where c is constant of integration.
For given question,
We have been given a differential equation
We know that for any real number a, m, n,
⇒ dy/dx = ×
Separating the variables (x and its differential in one side and y and its differential in another side )
⇒ dy = dx
⇒ dy = dx
Integrating on both the sides,
⇒ dy = dx
We know that,
⇒
and
So the solution is, , where c is constant of integration.
Therefore, the solution to the given differential equation is , , where c is constant of integration.
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Answer:
D
Step-by-step explanation:
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Answer:
(3, 2)
General Formulas and Concepts:
<u>Pre-Algebra</u>
- Order of Operations: BPEMDAS
- Equality Properties
<u>Algebra I</u>
- Solving systems of equations using substitution/elimination
- Solving systems of equations by graphing
Step-by-step explanation:
<u>Step 1: Define systems</u>
-3x + 10y = 11
-8x + 2y = -20
<u>Step 2: Rewrite systems</u>
-8x + 2y = -20
- Add 8x to both sides: 2y = 8x - 20
- Divide 2 on both sides: y = 4x - 10
<u>Step 3: Redefine systems</u>
-3x + 10y = 11
y = 4x - 10
<u>Step 4: Solve for </u><em><u>x</u></em>
<em>Substitution</em>
- Substitute in <em>y</em>: -3x + 10(4x - 10) = 11
- Distribute 10: -3x + 40x - 100 = 11
- Combine like terms: 37x - 100 = 11
- Add 100 to both sides: 37x = 111
- Divide 37 on both sides: x = 3
<u>Step 5: Solve for </u><em><u>y</u></em>
- Define original equation: -3x + 10y = 11
- Substitute in <em>x</em>: -3(3) + 10y = 11
- Multiply: -9 + 10y = 11
- Add 9 to both sides: 10y = 20
- Divide 10 on both sides: y = 2
<u>Step 6: Graph system</u>
<em>Check the system</em>.
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Algebra
Factor
Factor the polynomial.
(
x
+
3
)
(
x
+
5
)
Tap to view FREE steps...
()|[]ó
789≤
456/^×>∩∪
123-+÷<π∞
,0.%=
Factor
x
2
+
8
x
+
15
+
0
Regroup terms.
x
2
+
0
+
8
x
+
15
Add
x
2
and
0
.
x
2
+
8
x
+
15
Factor
x
2
+
8
x
+
15
using the AC method.
Tap for fewer steps...
Consider the form
x
2
+
b
x
+
c
. Find a pair of integers whose product is
c
and whose sum is
b
. In this case, whose product is
15
and whose sum is
8
.
3
,
5
Write the factored form using these integers.
(
x
+
3
)
(
x
+
5
)